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Finding the Fourth Proportional to 138,256.30, 207,384.33 and 38,416.44

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Solution

The fourth proportional to 138,256.30, 207,384.33 and 38,416.44 is: 57,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,256.30 : 207,384.33 = 38,416.44 : x
  2. Step 2: Convert to fraction form
    138,256.30/207,384.33 = 38,416.44/x
  3. Step 3: Cross multiply
    138,256.30x = 207,384.33 × 38,416.44
  4. Step 4: Simplify right side
    138,256.30x = 7,966,967,478.30
  5. Step 5: Solve for x
    x = 7,966,967,478.30/138,256.30
  6. Step 6: Final answer
    x = 57,624.63

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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.