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Finding the Fourth Proportional to 187,042.57, 258,118.74 and 102,159.83

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Solution

The fourth proportional to 187,042.57, 258,118.74 and 102,159.83 is: 140,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,042.57 : 258,118.74 = 102,159.83 : x
  2. Step 2: Convert to fraction form
    187,042.57/258,118.74 = 102,159.83/x
  3. Step 3: Cross multiply
    187,042.57x = 258,118.74 × 102,159.83
  4. Step 4: Simplify right side
    187,042.57x = 26,369,366,598.21
  5. Step 5: Solve for x
    x = 26,369,366,598.21/187,042.57
  6. Step 6: Final answer
    x = 140,980.57

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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.