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Finding the Fourth Proportional to 84,838.10, 127,257.15 and 82,894.10

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Solution

The fourth proportional to 84,838.10, 127,257.15 and 82,894.10 is: 124,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,838.10 : 127,257.15 = 82,894.10 : x
  2. Step 2: Convert to fraction form
    84,838.10/127,257.15 = 82,894.10/x
  3. Step 3: Cross multiply
    84,838.10x = 127,257.15 × 82,894.10
  4. Step 4: Simplify right side
    84,838.10x = 10,548,866,917.82
  5. Step 5: Solve for x
    x = 10,548,866,917.82/84,838.10
  6. Step 6: Final answer
    x = 124,341.15

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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.