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Finding the Fourth Proportional to 157,883.16, 217,876.20 and 86,261.64

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Solution

The fourth proportional to 157,883.16, 217,876.20 and 86,261.64 is: 119,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,883.16 : 217,876.20 = 86,261.64 : x
  2. Step 2: Convert to fraction form
    157,883.16/217,876.20 = 86,261.64/x
  3. Step 3: Cross multiply
    157,883.16x = 217,876.20 × 86,261.64
  4. Step 4: Simplify right side
    157,883.16x = 18,794,358,328.97
  5. Step 5: Solve for x
    x = 18,794,358,328.97/157,883.16
  6. Step 6: Final answer
    x = 119,039.66

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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.