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Finding the Fourth Proportional to 144,761.80, 217,142.70 and 97,522.60

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Solution

The fourth proportional to 144,761.80, 217,142.70 and 97,522.60 is: 146,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,761.80 : 217,142.70 = 97,522.60 : x
  2. Step 2: Convert to fraction form
    144,761.80/217,142.70 = 97,522.60/x
  3. Step 3: Cross multiply
    144,761.80x = 217,142.70 × 97,522.60
  4. Step 4: Simplify right side
    144,761.80x = 21,176,320,675.02
  5. Step 5: Solve for x
    x = 21,176,320,675.02/144,761.80
  6. Step 6: Final answer
    x = 146,283.90

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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.