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Finding the Fourth Proportional to 187,146.34, 258,262.62 and 102,263.40

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Solution

The fourth proportional to 187,146.34, 258,262.62 and 102,263.40 is: 141,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,146.34 : 258,262.62 = 102,263.40 : x
  2. Step 2: Convert to fraction form
    187,146.34/258,262.62 = 102,263.40/x
  3. Step 3: Cross multiply
    187,146.34x = 258,262.62 × 102,263.40
  4. Step 4: Simplify right side
    187,146.34x = 26,410,813,614.11
  5. Step 5: Solve for x
    x = 26,410,813,614.11/187,146.34
  6. Step 6: Final answer
    x = 141,123.86

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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.