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Finding the Fourth Proportional to 157,969.28, 217,998.04 and 86,350.16

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Solution

The fourth proportional to 157,969.28, 217,998.04 and 86,350.16 is: 119,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,969.28 : 217,998.04 = 86,350.16 : x
  2. Step 2: Convert to fraction form
    157,969.28/217,998.04 = 86,350.16/x
  3. Step 3: Cross multiply
    157,969.28x = 217,998.04 × 86,350.16
  4. Step 4: Simplify right side
    157,969.28x = 18,824,165,633.69
  5. Step 5: Solve for x
    x = 18,824,165,633.69/157,969.28
  6. Step 6: Final answer
    x = 119,163.46

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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.