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Finding the Fourth Proportional to 187,040.46, 258,104.31 and 102,152.46

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Solution

The fourth proportional to 187,040.46, 258,104.31 and 102,152.46 is: 140,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,040.46 : 258,104.31 = 102,152.46 : x
  2. Step 2: Convert to fraction form
    187,040.46/258,104.31 = 102,152.46/x
  3. Step 3: Cross multiply
    187,040.46x = 258,104.31 × 102,152.46
  4. Step 4: Simplify right side
    187,040.46x = 26,365,990,203.10
  5. Step 5: Solve for x
    x = 26,365,990,203.10/187,040.46
  6. Step 6: Final answer
    x = 140,964.10

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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.