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Finding the Fourth Proportional to 116,164.68, 160,248.20 and 75,902

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Solution

The fourth proportional to 116,164.68, 160,248.20 and 75,902 is: 104,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,164.68 : 160,248.20 = 75,902 : x
  2. Step 2: Convert to fraction form
    116,164.68/160,248.20 = 75,902/x
  3. Step 3: Cross multiply
    116,164.68x = 160,248.20 × 75,902
  4. Step 4: Simplify right side
    116,164.68x = 12,163,158,876.40
  5. Step 5: Solve for x
    x = 12,163,158,876.40/116,164.68
  6. Step 6: Final answer
    x = 104,706.17

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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.