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Finding the Fourth Proportional to 187,414.56, 258,633 and 102,533.04

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Solution

The fourth proportional to 187,414.56, 258,633 and 102,533.04 is: 141,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,414.56 : 258,633 = 102,533.04 : x
  2. Step 2: Convert to fraction form
    187,414.56/258,633 = 102,533.04/x
  3. Step 3: Cross multiply
    187,414.56x = 258,633 × 102,533.04
  4. Step 4: Simplify right side
    187,414.56x = 26,518,427,734.32
  5. Step 5: Solve for x
    x = 26,518,427,734.32/187,414.56
  6. Step 6: Final answer
    x = 141,496.09

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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.