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Finding the Fourth Proportional to 238,446.60, 357,344.28 and 120,197.94

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Solution

The fourth proportional to 238,446.60, 357,344.28 and 120,197.94 is: 180,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,446.60 : 357,344.28 = 120,197.94 : x
  2. Step 2: Convert to fraction form
    238,446.60/357,344.28 = 120,197.94/x
  3. Step 3: Cross multiply
    238,446.60x = 357,344.28 × 120,197.94
  4. Step 4: Simplify right side
    238,446.60x = 42,952,046,326.78
  5. Step 5: Solve for x
    x = 42,952,046,326.78/238,446.60
  6. Step 6: Final answer
    x = 180,132.77

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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.