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Finding the Fourth Proportional to 132,624.66, 198,978.45 and 85,293.17

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Solution

The fourth proportional to 132,624.66, 198,978.45 and 85,293.17 is: 127,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,624.66 : 198,978.45 = 85,293.17 : x
  2. Step 2: Convert to fraction form
    132,624.66/198,978.45 = 85,293.17/x
  3. Step 3: Cross multiply
    132,624.66x = 198,978.45 × 85,293.17
  4. Step 4: Simplify right side
    132,624.66x = 16,971,502,762.19
  5. Step 5: Solve for x
    x = 16,971,502,762.19/132,624.66
  6. Step 6: Final answer
    x = 127,966.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.