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Finding the Fourth Proportional to 235,065.80, 352,562.70 and 77,294.60

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Solution

The fourth proportional to 235,065.80, 352,562.70 and 77,294.60 is: 115,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,065.80 : 352,562.70 = 77,294.60 : x
  2. Step 2: Convert to fraction form
    235,065.80/352,562.70 = 77,294.60/x
  3. Step 3: Cross multiply
    235,065.80x = 352,562.70 × 77,294.60
  4. Step 4: Simplify right side
    235,065.80x = 27,251,192,871.42
  5. Step 5: Solve for x
    x = 27,251,192,871.42/235,065.80
  6. Step 6: Final answer
    x = 115,930.06

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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.