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Finding the Fourth Proportional to 187,317.50, 258,498 and 102,434.54

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Solution

The fourth proportional to 187,317.50, 258,498 and 102,434.54 is: 141,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,317.50 : 258,498 = 102,434.54 : x
  2. Step 2: Convert to fraction form
    187,317.50/258,498 = 102,434.54/x
  3. Step 3: Cross multiply
    187,317.50x = 258,498 × 102,434.54
  4. Step 4: Simplify right side
    187,317.50x = 26,479,122,428.43
  5. Step 5: Solve for x
    x = 26,479,122,428.43/187,317.50
  6. Step 6: Final answer
    x = 141,359.58

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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.