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Finding the Fourth Proportional to 137,073.60, 205,610.40 and 81,777.60

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Solution

The fourth proportional to 137,073.60, 205,610.40 and 81,777.60 is: 122,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,073.60 : 205,610.40 = 81,777.60 : x
  2. Step 2: Convert to fraction form
    137,073.60/205,610.40 = 81,777.60/x
  3. Step 3: Cross multiply
    137,073.60x = 205,610.40 × 81,777.60
  4. Step 4: Simplify right side
    137,073.60x = 16,814,325,047.04
  5. Step 5: Solve for x
    x = 16,814,325,047.04/137,073.60
  6. Step 6: Final answer
    x = 122,666.40

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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.