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Finding the Fourth Proportional to 151,382.98, 227,114.36 and 75,503.80

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Solution

The fourth proportional to 151,382.98, 227,114.36 and 75,503.80 is: 113,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,382.98 : 227,114.36 = 75,503.80 : x
  2. Step 2: Convert to fraction form
    151,382.98/227,114.36 = 75,503.80/x
  3. Step 3: Cross multiply
    151,382.98x = 227,114.36 × 75,503.80
  4. Step 4: Simplify right side
    151,382.98x = 17,147,997,214.57
  5. Step 5: Solve for x
    x = 17,147,997,214.57/151,382.98
  6. Step 6: Final answer
    x = 113,275.60

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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.