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Finding the Fourth Proportional to 157,870.98, 217,859.22 and 86,249.16

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Solution

The fourth proportional to 157,870.98, 217,859.22 and 86,249.16 is: 119,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,870.98 : 217,859.22 = 86,249.16 : x
  2. Step 2: Convert to fraction form
    157,870.98/217,859.22 = 86,249.16/x
  3. Step 3: Cross multiply
    157,870.98x = 217,859.22 × 86,249.16
  4. Step 4: Simplify right side
    157,870.98x = 18,790,174,723.26
  5. Step 5: Solve for x
    x = 18,790,174,723.26/157,870.98
  6. Step 6: Final answer
    x = 119,022.35

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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.