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Finding the Fourth Proportional to 230,753.20, 346,165.80 and 72,966.64

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Solution

The fourth proportional to 230,753.20, 346,165.80 and 72,966.64 is: 109,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,753.20 : 346,165.80 = 72,966.64 : x
  2. Step 2: Convert to fraction form
    230,753.20/346,165.80 = 72,966.64/x
  3. Step 3: Cross multiply
    230,753.20x = 346,165.80 × 72,966.64
  4. Step 4: Simplify right side
    230,753.20x = 25,258,555,308.91
  5. Step 5: Solve for x
    x = 25,258,555,308.91/230,753.20
  6. Step 6: Final answer
    x = 109,461.34

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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.