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Finding the Fourth Proportional to 410,193.80, 615,233.10 and 129,739.40

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Solution

The fourth proportional to 410,193.80, 615,233.10 and 129,739.40 is: 194,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,193.80 : 615,233.10 = 129,739.40 : x
  2. Step 2: Convert to fraction form
    410,193.80/615,233.10 = 129,739.40/x
  3. Step 3: Cross multiply
    410,193.80x = 615,233.10 × 129,739.40
  4. Step 4: Simplify right side
    410,193.80x = 79,819,973,254.14
  5. Step 5: Solve for x
    x = 79,819,973,254.14/410,193.80
  6. Step 6: Final answer
    x = 194,590.88

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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.