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Finding the Fourth Proportional to 238,634.68, 357,861.03 and 105,442.24

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Solution

The fourth proportional to 238,634.68, 357,861.03 and 105,442.24 is: 158,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,634.68 : 357,861.03 = 105,442.24 : x
  2. Step 2: Convert to fraction form
    238,634.68/357,861.03 = 105,442.24/x
  3. Step 3: Cross multiply
    238,634.68x = 357,861.03 × 105,442.24
  4. Step 4: Simplify right side
    238,634.68x = 37,733,668,611.91
  5. Step 5: Solve for x
    x = 37,733,668,611.91/238,634.68
  6. Step 6: Final answer
    x = 158,123.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.