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Finding the Fourth Proportional to 187,097.28, 258,193.12 and 102,214.24

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Solution

The fourth proportional to 187,097.28, 258,193.12 and 102,214.24 is: 141,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,097.28 : 258,193.12 = 102,214.24 : x
  2. Step 2: Convert to fraction form
    187,097.28/258,193.12 = 102,214.24/x
  3. Step 3: Cross multiply
    187,097.28x = 258,193.12 × 102,214.24
  4. Step 4: Simplify right side
    187,097.28x = 26,391,013,534.03
  5. Step 5: Solve for x
    x = 26,391,013,534.03/187,097.28
  6. Step 6: Final answer
    x = 141,055.04

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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.