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Finding the Fourth Proportional to 125,883.78, 188,825.68 and 120,417.14

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Solution

The fourth proportional to 125,883.78, 188,825.68 and 120,417.14 is: 180,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,883.78 : 188,825.68 = 120,417.14 : x
  2. Step 2: Convert to fraction form
    125,883.78/188,825.68 = 120,417.14/x
  3. Step 3: Cross multiply
    125,883.78x = 188,825.68 × 120,417.14
  4. Step 4: Simplify right side
    125,883.78x = 22,737,848,344.16
  5. Step 5: Solve for x
    x = 22,737,848,344.16/125,883.78
  6. Step 6: Final answer
    x = 180,625.72

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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.