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Finding the Fourth Proportional to 238,306.10, 357,541.06 and 149,455.58

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Solution

The fourth proportional to 238,306.10, 357,541.06 and 149,455.58 is: 224,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,306.10 : 357,541.06 = 149,455.58 : x
  2. Step 2: Convert to fraction form
    238,306.10/357,541.06 = 149,455.58/x
  3. Step 3: Cross multiply
    238,306.10x = 357,541.06 × 149,455.58
  4. Step 4: Simplify right side
    238,306.10x = 53,436,505,228.62
  5. Step 5: Solve for x
    x = 53,436,505,228.62/238,306.10
  6. Step 6: Final answer
    x = 224,234.74

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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.