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Finding the Fourth Proportional to 123,816.60, 185,714.10 and 40,710.60

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Solution

The fourth proportional to 123,816.60, 185,714.10 and 40,710.60 is: 61,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,816.60 : 185,714.10 = 40,710.60 : x
  2. Step 2: Convert to fraction form
    123,816.60/185,714.10 = 40,710.60/x
  3. Step 3: Cross multiply
    123,816.60x = 185,714.10 × 40,710.60
  4. Step 4: Simplify right side
    123,816.60x = 7,560,532,439.46
  5. Step 5: Solve for x
    x = 7,560,532,439.46/123,816.60
  6. Step 6: Final answer
    x = 61,062.35

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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.