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Finding the Fourth Proportional to 122,901.80, 184,306.62 and 52,745

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Solution

The fourth proportional to 122,901.80, 184,306.62 and 52,745 is: 79,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,901.80 : 184,306.62 = 52,745 : x
  2. Step 2: Convert to fraction form
    122,901.80/184,306.62 = 52,745/x
  3. Step 3: Cross multiply
    122,901.80x = 184,306.62 × 52,745
  4. Step 4: Simplify right side
    122,901.80x = 9,721,252,671.90
  5. Step 5: Solve for x
    x = 9,721,252,671.90/122,901.80
  6. Step 6: Final answer
    x = 79,097.72

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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.