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Finding the Fourth Proportional to 110,429.70, 165,644.55 and 75,437.70

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Solution

The fourth proportional to 110,429.70, 165,644.55 and 75,437.70 is: 113,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,429.70 : 165,644.55 = 75,437.70 : x
  2. Step 2: Convert to fraction form
    110,429.70/165,644.55 = 75,437.70/x
  3. Step 3: Cross multiply
    110,429.70x = 165,644.55 × 75,437.70
  4. Step 4: Simplify right side
    110,429.70x = 12,495,843,869.54
  5. Step 5: Solve for x
    x = 12,495,843,869.54/110,429.70
  6. Step 6: Final answer
    x = 113,156.55

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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.