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Finding the Fourth Proportional to 138,570.48, 207,644.25 and 72,032.22

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Solution

The fourth proportional to 138,570.48, 207,644.25 and 72,032.22 is: 107,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,570.48 : 207,644.25 = 72,032.22 : x
  2. Step 2: Convert to fraction form
    138,570.48/207,644.25 = 72,032.22/x
  3. Step 3: Cross multiply
    138,570.48x = 207,644.25 × 72,032.22
  4. Step 4: Simplify right side
    138,570.48x = 14,957,076,297.74
  5. Step 5: Solve for x
    x = 14,957,076,297.74/138,570.48
  6. Step 6: Final answer
    x = 107,938.40

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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.