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Finding the Fourth Proportional to 118,815.76, 178,209.76 and 47,735.52

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Solution

The fourth proportional to 118,815.76, 178,209.76 and 47,735.52 is: 71,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,815.76 : 178,209.76 = 47,735.52 : x
  2. Step 2: Convert to fraction form
    118,815.76/178,209.76 = 47,735.52/x
  3. Step 3: Cross multiply
    118,815.76x = 178,209.76 × 47,735.52
  4. Step 4: Simplify right side
    118,815.76x = 8,506,935,562.68
  5. Step 5: Solve for x
    x = 8,506,935,562.68/118,815.76
  6. Step 6: Final answer
    x = 71,597.70

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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.