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Finding the Fourth Proportional to 148,854.64, 223,281.96 and 55,335.28

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Solution

The fourth proportional to 148,854.64, 223,281.96 and 55,335.28 is: 83,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,854.64 : 223,281.96 = 55,335.28 : x
  2. Step 2: Convert to fraction form
    148,854.64/223,281.96 = 55,335.28/x
  3. Step 3: Cross multiply
    148,854.64x = 223,281.96 × 55,335.28
  4. Step 4: Simplify right side
    148,854.64x = 12,355,369,775.55
  5. Step 5: Solve for x
    x = 12,355,369,775.55/148,854.64
  6. Step 6: Final answer
    x = 83,002.92

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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.