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Finding the Fourth Proportional to 132,877.50, 199,316.97 and 34,381.50

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Solution

The fourth proportional to 132,877.50, 199,316.97 and 34,381.50 is: 51,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,877.50 : 199,316.97 = 34,381.50 : x
  2. Step 2: Convert to fraction form
    132,877.50/199,316.97 = 34,381.50/x
  3. Step 3: Cross multiply
    132,877.50x = 199,316.97 × 34,381.50
  4. Step 4: Simplify right side
    132,877.50x = 6,852,816,404.06
  5. Step 5: Solve for x
    x = 6,852,816,404.06/132,877.50
  6. Step 6: Final answer
    x = 51,572.44

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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.