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Finding the Fourth Proportional to 122,714.40, 184,073.30 and 80,862.40

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Solution

The fourth proportional to 122,714.40, 184,073.30 and 80,862.40 is: 121,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,714.40 : 184,073.30 = 80,862.40 : x
  2. Step 2: Convert to fraction form
    122,714.40/184,073.30 = 80,862.40/x
  3. Step 3: Cross multiply
    122,714.40x = 184,073.30 × 80,862.40
  4. Step 4: Simplify right side
    122,714.40x = 14,884,608,813.92
  5. Step 5: Solve for x
    x = 14,884,608,813.92/122,714.40
  6. Step 6: Final answer
    x = 121,294.72

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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.