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Finding the Fourth Proportional to 96,138, 144,217.53 and 39,984.75

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Solution

The fourth proportional to 96,138, 144,217.53 and 39,984.75 is: 59,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,138 : 144,217.53 = 39,984.75 : x
  2. Step 2: Convert to fraction form
    96,138/144,217.53 = 39,984.75/x
  3. Step 3: Cross multiply
    96,138x = 144,217.53 × 39,984.75
  4. Step 4: Simplify right side
    96,138x = 5,766,501,882.67
  5. Step 5: Solve for x
    x = 5,766,501,882.67/96,138
  6. Step 6: Final answer
    x = 59,981.50

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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.