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Finding the Fourth Proportional to 371,847.96, 513,154.17 and 202,082.10

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Solution

The fourth proportional to 371,847.96, 513,154.17 and 202,082.10 is: 278,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,847.96 : 513,154.17 = 202,082.10 : x
  2. Step 2: Convert to fraction form
    371,847.96/513,154.17 = 202,082.10/x
  3. Step 3: Cross multiply
    371,847.96x = 513,154.17 × 202,082.10
  4. Step 4: Simplify right side
    371,847.96x = 103,699,272,297.36
  5. Step 5: Solve for x
    x = 103,699,272,297.36/371,847.96
  6. Step 6: Final answer
    x = 278,875.46

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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.