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Finding the Fourth Proportional to 115,642.22, 159,584.19 and 65,340.14

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Solution

The fourth proportional to 115,642.22, 159,584.19 and 65,340.14 is: 90,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,642.22 : 159,584.19 = 65,340.14 : x
  2. Step 2: Convert to fraction form
    115,642.22/159,584.19 = 65,340.14/x
  3. Step 3: Cross multiply
    115,642.22x = 159,584.19 × 65,340.14
  4. Step 4: Simplify right side
    115,642.22x = 10,427,253,316.39
  5. Step 5: Solve for x
    x = 10,427,253,316.39/115,642.22
  6. Step 6: Final answer
    x = 90,168.22

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1.5x scale

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.