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Finding the Fourth Proportional to 106,911.84, 147,528.30 and 63,882.78

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Solution

The fourth proportional to 106,911.84, 147,528.30 and 63,882.78 is: 88,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,911.84 : 147,528.30 = 63,882.78 : x
  2. Step 2: Convert to fraction form
    106,911.84/147,528.30 = 63,882.78/x
  3. Step 3: Cross multiply
    106,911.84x = 147,528.30 × 63,882.78
  4. Step 4: Simplify right side
    106,911.84x = 9,424,517,932.67
  5. Step 5: Solve for x
    x = 9,424,517,932.67/106,911.84
  6. Step 6: Final answer
    x = 88,152.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.