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Finding the Fourth Proportional to 157,778.72, 217,739.88 and 86,164.16

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Solution

The fourth proportional to 157,778.72, 217,739.88 and 86,164.16 is: 118,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,778.72 : 217,739.88 = 86,164.16 : x
  2. Step 2: Convert to fraction form
    157,778.72/217,739.88 = 86,164.16/x
  3. Step 3: Cross multiply
    157,778.72x = 217,739.88 × 86,164.16
  4. Step 4: Simplify right side
    157,778.72x = 18,761,373,858.70
  5. Step 5: Solve for x
    x = 18,761,373,858.70/157,778.72
  6. Step 6: Final answer
    x = 118,909.41

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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.