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Finding the Fourth Proportional to 137,206.77, 205,691.87 and 53,026.00

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Solution

The fourth proportional to 137,206.77, 205,691.87 and 53,026.00 is: 79,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,206.77 : 205,691.87 = 53,026.00 : x
  2. Step 2: Convert to fraction form
    137,206.77/205,691.87 = 53,026.00/x
  3. Step 3: Cross multiply
    137,206.77x = 205,691.87 × 53,026.00
  4. Step 4: Simplify right side
    137,206.77x = 10,907,016,319.26
  5. Step 5: Solve for x
    x = 10,907,016,319.26/137,206.77
  6. Step 6: Final answer
    x = 79,493.28

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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.