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Finding the Fourth Proportional to 157,412.74, 217,223.22 and 85,791.22

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Solution

The fourth proportional to 157,412.74, 217,223.22 and 85,791.22 is: 118,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,412.74 : 217,223.22 = 85,791.22 : x
  2. Step 2: Convert to fraction form
    157,412.74/217,223.22 = 85,791.22/x
  3. Step 3: Cross multiply
    157,412.74x = 217,223.22 × 85,791.22
  4. Step 4: Simplify right side
    157,412.74x = 18,635,845,056.13
  5. Step 5: Solve for x
    x = 18,635,845,056.13/157,412.74
  6. Step 6: Final answer
    x = 118,388.42

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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.