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Finding the Fourth Proportional to 137,315.72, 205,841.82 and 43,760.36

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Solution

The fourth proportional to 137,315.72, 205,841.82 and 43,760.36 is: 65,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,315.72 : 205,841.82 = 43,760.36 : x
  2. Step 2: Convert to fraction form
    137,315.72/205,841.82 = 43,760.36/x
  3. Step 3: Cross multiply
    137,315.72x = 205,841.82 × 43,760.36
  4. Step 4: Simplify right side
    137,315.72x = 9,007,712,146.26
  5. Step 5: Solve for x
    x = 9,007,712,146.26/137,315.72
  6. Step 6: Final answer
    x = 65,598.55

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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.