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Finding the Fourth Proportional to 98,855.92, 136,422.04 and 56,414

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Solution

The fourth proportional to 98,855.92, 136,422.04 and 56,414 is: 77,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,855.92 : 136,422.04 = 56,414 : x
  2. Step 2: Convert to fraction form
    98,855.92/136,422.04 = 56,414/x
  3. Step 3: Cross multiply
    98,855.92x = 136,422.04 × 56,414
  4. Step 4: Simplify right side
    98,855.92x = 7,696,112,964.56
  5. Step 5: Solve for x
    x = 7,696,112,964.56/98,855.92
  6. Step 6: Final answer
    x = 77,851.82

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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.