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Finding the Fourth Proportional to 100,684.62, 138,948.34 and 55,366.04

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Solution

The fourth proportional to 100,684.62, 138,948.34 and 55,366.04 is: 76,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,684.62 : 138,948.34 = 55,366.04 : x
  2. Step 2: Convert to fraction form
    100,684.62/138,948.34 = 55,366.04/x
  3. Step 3: Cross multiply
    100,684.62x = 138,948.34 × 55,366.04
  4. Step 4: Simplify right side
    100,684.62x = 7,693,019,350.37
  5. Step 5: Solve for x
    x = 7,693,019,350.37/100,684.62
  6. Step 6: Final answer
    x = 76,407.10

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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.