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Finding the Fourth Proportional to 202,151.60, 302,862.90 and 96,738.20

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Solution

The fourth proportional to 202,151.60, 302,862.90 and 96,738.20 is: 144,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,151.60 : 302,862.90 = 96,738.20 : x
  2. Step 2: Convert to fraction form
    202,151.60/302,862.90 = 96,738.20/x
  3. Step 3: Cross multiply
    202,151.60x = 302,862.90 × 96,738.20
  4. Step 4: Simplify right side
    202,151.60x = 29,298,411,792.78
  5. Step 5: Solve for x
    x = 29,298,411,792.78/202,151.60
  6. Step 6: Final answer
    x = 144,932.87

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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.