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Finding the Fourth Proportional to 147,822, 221,747.54 and 39,750.02

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Solution

The fourth proportional to 147,822, 221,747.54 and 39,750.02 is: 59,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,822 : 221,747.54 = 39,750.02 : x
  2. Step 2: Convert to fraction form
    147,822/221,747.54 = 39,750.02/x
  3. Step 3: Cross multiply
    147,822x = 221,747.54 × 39,750.02
  4. Step 4: Simplify right side
    147,822x = 8,814,469,149.95
  5. Step 5: Solve for x
    x = 8,814,469,149.95/147,822
  6. Step 6: Final answer
    x = 59,628.94

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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.