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Finding the Fourth Proportional to 110,306.40, 165,070.80 and 76,869.60

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Solution

The fourth proportional to 110,306.40, 165,070.80 and 76,869.60 is: 115,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,306.40 : 165,070.80 = 76,869.60 : x
  2. Step 2: Convert to fraction form
    110,306.40/165,070.80 = 76,869.60/x
  3. Step 3: Cross multiply
    110,306.40x = 165,070.80 × 76,869.60
  4. Step 4: Simplify right side
    110,306.40x = 12,688,926,367.68
  5. Step 5: Solve for x
    x = 12,688,926,367.68/110,306.40
  6. Step 6: Final answer
    x = 115,033.46

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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.