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Finding the Fourth Proportional to 147,206.20, 220,838.10 and 62,966.20

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Solution

The fourth proportional to 147,206.20, 220,838.10 and 62,966.20 is: 94,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,206.20 : 220,838.10 = 62,966.20 : x
  2. Step 2: Convert to fraction form
    147,206.20/220,838.10 = 62,966.20/x
  3. Step 3: Cross multiply
    147,206.20x = 220,838.10 × 62,966.20
  4. Step 4: Simplify right side
    147,206.20x = 13,905,335,972.22
  5. Step 5: Solve for x
    x = 13,905,335,972.22/147,206.20
  6. Step 6: Final answer
    x = 94,461.62

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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.