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Finding the Fourth Proportional to 119,806.80, 165,432.88 and 107,037.45

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Solution

The fourth proportional to 119,806.80, 165,432.88 and 107,037.45 is: 147,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,806.80 : 165,432.88 = 107,037.45 : x
  2. Step 2: Convert to fraction form
    119,806.80/165,432.88 = 107,037.45/x
  3. Step 3: Cross multiply
    119,806.80x = 165,432.88 × 107,037.45
  4. Step 4: Simplify right side
    119,806.80x = 17,707,513,755.15
  5. Step 5: Solve for x
    x = 17,707,513,755.15/119,806.80
  6. Step 6: Final answer
    x = 147,800.58

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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.