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Finding the Fourth Proportional to 137,089.60, 205,634.40 and 43,604.80

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Solution

The fourth proportional to 137,089.60, 205,634.40 and 43,604.80 is: 65,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,089.60 : 205,634.40 = 43,604.80 : x
  2. Step 2: Convert to fraction form
    137,089.60/205,634.40 = 43,604.80/x
  3. Step 3: Cross multiply
    137,089.60x = 205,634.40 × 43,604.80
  4. Step 4: Simplify right side
    137,089.60x = 8,966,646,885.12
  5. Step 5: Solve for x
    x = 8,966,646,885.12/137,089.60
  6. Step 6: Final answer
    x = 65,407.20

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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.