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Finding the Fourth Proportional to 138,056.22, 207,061.25 and 38,226.50

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Solution

The fourth proportional to 138,056.22, 207,061.25 and 38,226.50 is: 57,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,056.22 : 207,061.25 = 38,226.50 : x
  2. Step 2: Convert to fraction form
    138,056.22/207,061.25 = 38,226.50/x
  3. Step 3: Cross multiply
    138,056.22x = 207,061.25 × 38,226.50
  4. Step 4: Simplify right side
    138,056.22x = 7,915,227,486.34
  5. Step 5: Solve for x
    x = 7,915,227,486.34/138,056.22
  6. Step 6: Final answer
    x = 57,333.36

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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.