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Finding the Fourth Proportional to 125,196.70, 187,801.89 and 31,703.26

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Solution

The fourth proportional to 125,196.70, 187,801.89 and 31,703.26 is: 47,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,196.70 : 187,801.89 = 31,703.26 : x
  2. Step 2: Convert to fraction form
    125,196.70/187,801.89 = 31,703.26/x
  3. Step 3: Cross multiply
    125,196.70x = 187,801.89 × 31,703.26
  4. Step 4: Simplify right side
    125,196.70x = 5,953,931,049.64
  5. Step 5: Solve for x
    x = 5,953,931,049.64/125,196.70
  6. Step 6: Final answer
    x = 47,556.62

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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.