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Finding the Fourth Proportional to 156,874.20, 235,311.30 and 83,146.20

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Solution

The fourth proportional to 156,874.20, 235,311.30 and 83,146.20 is: 124,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,874.20 : 235,311.30 = 83,146.20 : x
  2. Step 2: Convert to fraction form
    156,874.20/235,311.30 = 83,146.20/x
  3. Step 3: Cross multiply
    156,874.20x = 235,311.30 × 83,146.20
  4. Step 4: Simplify right side
    156,874.20x = 19,565,240,412.06
  5. Step 5: Solve for x
    x = 19,565,240,412.06/156,874.20
  6. Step 6: Final answer
    x = 124,719.30

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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.