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Finding the Fourth Proportional to 371,862.16, 513,169.56 and 202,096.32

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Solution

The fourth proportional to 371,862.16, 513,169.56 and 202,096.32 is: 278,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,862.16 : 513,169.56 = 202,096.32 : x
  2. Step 2: Convert to fraction form
    371,862.16/513,169.56 = 202,096.32/x
  3. Step 3: Cross multiply
    371,862.16x = 513,169.56 × 202,096.32
  4. Step 4: Simplify right side
    371,862.16x = 103,709,679,612.02
  5. Step 5: Solve for x
    x = 103,709,679,612.02/371,862.16
  6. Step 6: Final answer
    x = 278,892.80

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Why These Related Problems?

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