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Finding the Fourth Proportional to 125,830.83, 188,588.22 and 75,267.17

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Solution

The fourth proportional to 125,830.83, 188,588.22 and 75,267.17 is: 112,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,830.83 : 188,588.22 = 75,267.17 : x
  2. Step 2: Convert to fraction form
    125,830.83/188,588.22 = 75,267.17/x
  3. Step 3: Cross multiply
    125,830.83x = 188,588.22 × 75,267.17
  4. Step 4: Simplify right side
    125,830.83x = 14,194,501,614.74
  5. Step 5: Solve for x
    x = 14,194,501,614.74/125,830.83
  6. Step 6: Final answer
    x = 112,806.23

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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.