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Finding the Fourth Proportional to 187,455.38, 258,688.42 and 102,572.44

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Solution

The fourth proportional to 187,455.38, 258,688.42 and 102,572.44 is: 141,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,455.38 : 258,688.42 = 102,572.44 : x
  2. Step 2: Convert to fraction form
    187,455.38/258,688.42 = 102,572.44/x
  3. Step 3: Cross multiply
    187,455.38x = 258,688.42 × 102,572.44
  4. Step 4: Simplify right side
    187,455.38x = 26,534,301,535.99
  5. Step 5: Solve for x
    x = 26,534,301,535.99/187,455.38
  6. Step 6: Final answer
    x = 141,549.96

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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.