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Finding the Fourth Proportional to 238,274.46, 357,306.72 and 111,950.61

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Solution

The fourth proportional to 238,274.46, 357,306.72 and 111,950.61 is: 167,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,274.46 : 357,306.72 = 111,950.61 : x
  2. Step 2: Convert to fraction form
    238,274.46/357,306.72 = 111,950.61/x
  3. Step 3: Cross multiply
    238,274.46x = 357,306.72 × 111,950.61
  4. Step 4: Simplify right side
    238,274.46x = 40,000,705,261.10
  5. Step 5: Solve for x
    x = 40,000,705,261.10/238,274.46
  6. Step 6: Final answer
    x = 167,876.60

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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.