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Finding the Fourth Proportional to 144,193.50, 216,290.25 and 45,697.50

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Solution

The fourth proportional to 144,193.50, 216,290.25 and 45,697.50 is: 68,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,193.50 : 216,290.25 = 45,697.50 : x
  2. Step 2: Convert to fraction form
    144,193.50/216,290.25 = 45,697.50/x
  3. Step 3: Cross multiply
    144,193.50x = 216,290.25 × 45,697.50
  4. Step 4: Simplify right side
    144,193.50x = 9,883,923,699.38
  5. Step 5: Solve for x
    x = 9,883,923,699.38/144,193.50
  6. Step 6: Final answer
    x = 68,546.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.