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Finding the Fourth Proportional to 132,590.53, 198,885.80 and 109,167.76

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Solution

The fourth proportional to 132,590.53, 198,885.80 and 109,167.76 is: 163,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,590.53 : 198,885.80 = 109,167.76 : x
  2. Step 2: Convert to fraction form
    132,590.53/198,885.80 = 109,167.76/x
  3. Step 3: Cross multiply
    132,590.53x = 198,885.80 × 109,167.76
  4. Step 4: Simplify right side
    132,590.53x = 21,711,917,281.81
  5. Step 5: Solve for x
    x = 21,711,917,281.81/132,590.53
  6. Step 6: Final answer
    x = 163,751.64

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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.