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Finding the Fourth Proportional to 202,649.60, 304,147.20 and 90,502.40

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Solution

The fourth proportional to 202,649.60, 304,147.20 and 90,502.40 is: 135,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,649.60 : 304,147.20 = 90,502.40 : x
  2. Step 2: Convert to fraction form
    202,649.60/304,147.20 = 90,502.40/x
  3. Step 3: Cross multiply
    202,649.60x = 304,147.20 × 90,502.40
  4. Step 4: Simplify right side
    202,649.60x = 27,526,051,553.28
  5. Step 5: Solve for x
    x = 27,526,051,553.28/202,649.60
  6. Step 6: Final answer
    x = 135,830.77

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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.