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Finding the Fourth Proportional to 138,823.16, 208,243.24 and 38,991.48

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Solution

The fourth proportional to 138,823.16, 208,243.24 and 38,991.48 is: 58,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,823.16 : 208,243.24 = 38,991.48 : x
  2. Step 2: Convert to fraction form
    138,823.16/208,243.24 = 38,991.48/x
  3. Step 3: Cross multiply
    138,823.16x = 208,243.24 × 38,991.48
  4. Step 4: Simplify right side
    138,823.16x = 8,119,712,127.60
  5. Step 5: Solve for x
    x = 8,119,712,127.60/138,823.16
  6. Step 6: Final answer
    x = 58,489.61

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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.