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Finding the Fourth Proportional to 132,497.56, 182,848.98 and 75,909.16

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Solution

The fourth proportional to 132,497.56, 182,848.98 and 75,909.16 is: 104,755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,497.56 : 182,848.98 = 75,909.16 : x
  2. Step 2: Convert to fraction form
    132,497.56/182,848.98 = 75,909.16/x
  3. Step 3: Cross multiply
    132,497.56x = 182,848.98 × 75,909.16
  4. Step 4: Simplify right side
    132,497.56x = 13,879,912,478.66
  5. Step 5: Solve for x
    x = 13,879,912,478.66/132,497.56
  6. Step 6: Final answer
    x = 104,755.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.