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Finding the Fourth Proportional to 109,307.80, 150,775.77 and 75,257.17

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Solution

The fourth proportional to 109,307.80, 150,775.77 and 75,257.17 is: 103,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,307.80 : 150,775.77 = 75,257.17 : x
  2. Step 2: Convert to fraction form
    109,307.80/150,775.77 = 75,257.17/x
  3. Step 3: Cross multiply
    109,307.80x = 150,775.77 × 75,257.17
  4. Step 4: Simplify right side
    109,307.80x = 11,346,957,754.77
  5. Step 5: Solve for x
    x = 11,346,957,754.77/109,307.80
  6. Step 6: Final answer
    x = 103,807.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.