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Finding the Fourth Proportional to 125,829.83, 188,586.72 and 75,266.17

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Solution

The fourth proportional to 125,829.83, 188,586.72 and 75,266.17 is: 112,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,829.83 : 188,586.72 = 75,266.17 : x
  2. Step 2: Convert to fraction form
    125,829.83/188,586.72 = 75,266.17/x
  3. Step 3: Cross multiply
    125,829.83x = 188,586.72 × 75,266.17
  4. Step 4: Simplify right side
    125,829.83x = 14,194,199,655.80
  5. Step 5: Solve for x
    x = 14,194,199,655.80/125,829.83
  6. Step 6: Final answer
    x = 112,804.73

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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.