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Finding the Fourth Proportional to 272,053.40, 408,080.10 and 146,082.20

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Solution

The fourth proportional to 272,053.40, 408,080.10 and 146,082.20 is: 219,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,053.40 : 408,080.10 = 146,082.20 : x
  2. Step 2: Convert to fraction form
    272,053.40/408,080.10 = 146,082.20/x
  3. Step 3: Cross multiply
    272,053.40x = 408,080.10 × 146,082.20
  4. Step 4: Simplify right side
    272,053.40x = 59,613,238,784.22
  5. Step 5: Solve for x
    x = 59,613,238,784.22/272,053.40
  6. Step 6: Final answer
    x = 219,123.30

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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.