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Finding the Fourth Proportional to 136,799.76, 188,759.52 and 83,074.08

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Solution

The fourth proportional to 136,799.76, 188,759.52 and 83,074.08 is: 114,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,799.76 : 188,759.52 = 83,074.08 : x
  2. Step 2: Convert to fraction form
    136,799.76/188,759.52 = 83,074.08/x
  3. Step 3: Cross multiply
    136,799.76x = 188,759.52 × 83,074.08
  4. Step 4: Simplify right side
    136,799.76x = 15,681,023,465.24
  5. Step 5: Solve for x
    x = 15,681,023,465.24/136,799.76
  6. Step 6: Final answer
    x = 114,627.57

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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.