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Finding the Fourth Proportional to 157,832.10, 217,812.90 and 86,213.25

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Solution

The fourth proportional to 157,832.10, 217,812.90 and 86,213.25 is: 118,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,832.10 : 217,812.90 = 86,213.25 : x
  2. Step 2: Convert to fraction form
    157,832.10/217,812.90 = 86,213.25/x
  3. Step 3: Cross multiply
    157,832.10x = 217,812.90 × 86,213.25
  4. Step 4: Simplify right side
    157,832.10x = 18,778,358,000.93
  5. Step 5: Solve for x
    x = 18,778,358,000.93/157,832.10
  6. Step 6: Final answer
    x = 118,976.80

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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.