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Finding the Fourth Proportional to 132,789, 199,212.66 and 49,683

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Solution

The fourth proportional to 132,789, 199,212.66 and 49,683 is: 74,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,789 : 199,212.66 = 49,683 : x
  2. Step 2: Convert to fraction form
    132,789/199,212.66 = 49,683/x
  3. Step 3: Cross multiply
    132,789x = 199,212.66 × 49,683
  4. Step 4: Simplify right side
    132,789x = 9,897,482,586.78
  5. Step 5: Solve for x
    x = 9,897,482,586.78/132,789
  6. Step 6: Final answer
    x = 74,535.41

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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.