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Finding the Fourth Proportional to 147,882.54, 221,735.14 and 67,820.22

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Solution

The fourth proportional to 147,882.54, 221,735.14 and 67,820.22 is: 101,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,882.54 : 221,735.14 = 67,820.22 : x
  2. Step 2: Convert to fraction form
    147,882.54/221,735.14 = 67,820.22/x
  3. Step 3: Cross multiply
    147,882.54x = 221,735.14 × 67,820.22
  4. Step 4: Simplify right side
    147,882.54x = 15,038,125,806.98
  5. Step 5: Solve for x
    x = 15,038,125,806.98/147,882.54
  6. Step 6: Final answer
    x = 101,689.66

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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.