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Finding the Fourth Proportional to 202,151.10, 302,862.15 and 96,737.70

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Solution

The fourth proportional to 202,151.10, 302,862.15 and 96,737.70 is: 144,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,151.10 : 302,862.15 = 96,737.70 : x
  2. Step 2: Convert to fraction form
    202,151.10/302,862.15 = 96,737.70/x
  3. Step 3: Cross multiply
    202,151.10x = 302,862.15 × 96,737.70
  4. Step 4: Simplify right side
    202,151.10x = 29,298,187,808.06
  5. Step 5: Solve for x
    x = 29,298,187,808.06/202,151.10
  6. Step 6: Final answer
    x = 144,932.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.