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Finding the Fourth Proportional to 187,139.46, 258,252.18 and 106,567

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Solution

The fourth proportional to 187,139.46, 258,252.18 and 106,567 is: 147,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,139.46 : 258,252.18 = 106,567 : x
  2. Step 2: Convert to fraction form
    187,139.46/258,252.18 = 106,567/x
  3. Step 3: Cross multiply
    187,139.46x = 258,252.18 × 106,567
  4. Step 4: Simplify right side
    187,139.46x = 27,521,160,066.06
  5. Step 5: Solve for x
    x = 27,521,160,066.06/187,139.46
  6. Step 6: Final answer
    x = 147,062.30

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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.