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Finding the Fourth Proportional to 371,854.64, 513,144.96 and 202,085.12

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Solution

The fourth proportional to 371,854.64, 513,144.96 and 202,085.12 is: 278,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,854.64 : 513,144.96 = 202,085.12 : x
  2. Step 2: Convert to fraction form
    371,854.64/513,144.96 = 202,085.12/x
  3. Step 3: Cross multiply
    371,854.64x = 513,144.96 × 202,085.12
  4. Step 4: Simplify right side
    371,854.64x = 103,698,961,344.04
  5. Step 5: Solve for x
    x = 103,698,961,344.04/371,854.64
  6. Step 6: Final answer
    x = 278,869.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.