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Finding the Fourth Proportional to 119,589.66, 165,000.90 and 83,250.40

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Solution

The fourth proportional to 119,589.66, 165,000.90 and 83,250.40 is: 114,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,589.66 : 165,000.90 = 83,250.40 : x
  2. Step 2: Convert to fraction form
    119,589.66/165,000.90 = 83,250.40/x
  3. Step 3: Cross multiply
    119,589.66x = 165,000.90 × 83,250.40
  4. Step 4: Simplify right side
    119,589.66x = 13,736,390,925.36
  5. Step 5: Solve for x
    x = 13,736,390,925.36/119,589.66
  6. Step 6: Final answer
    x = 114,862.70

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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.