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Finding the Fourth Proportional to 127,981.54, 191,578.62 and 83,512.54

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Solution

The fourth proportional to 127,981.54, 191,578.62 and 83,512.54 is: 125,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,981.54 : 191,578.62 = 83,512.54 : x
  2. Step 2: Convert to fraction form
    127,981.54/191,578.62 = 83,512.54/x
  3. Step 3: Cross multiply
    127,981.54x = 191,578.62 × 83,512.54
  4. Step 4: Simplify right side
    127,981.54x = 15,999,217,165.89
  5. Step 5: Solve for x
    x = 15,999,217,165.89/127,981.54
  6. Step 6: Final answer
    x = 125,011.91

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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.