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Finding the Fourth Proportional to 118,142.88, 176,461.20 and 106,881

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Solution

The fourth proportional to 118,142.88, 176,461.20 and 106,881 is: 159,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,142.88 : 176,461.20 = 106,881 : x
  2. Step 2: Convert to fraction form
    118,142.88/176,461.20 = 106,881/x
  3. Step 3: Cross multiply
    118,142.88x = 176,461.20 × 106,881
  4. Step 4: Simplify right side
    118,142.88x = 18,860,349,517.20
  5. Step 5: Solve for x
    x = 18,860,349,517.20/118,142.88
  6. Step 6: Final answer
    x = 159,640.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.