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Finding the Fourth Proportional to 157,858.34, 217,843.71 and 86,242.46

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Solution

The fourth proportional to 157,858.34, 217,843.71 and 86,242.46 is: 119,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,858.34 : 217,843.71 = 86,242.46 : x
  2. Step 2: Convert to fraction form
    157,858.34/217,843.71 = 86,242.46/x
  3. Step 3: Cross multiply
    157,858.34x = 217,843.71 × 86,242.46
  4. Step 4: Simplify right side
    157,858.34x = 18,787,377,445.93
  5. Step 5: Solve for x
    x = 18,787,377,445.93/157,858.34
  6. Step 6: Final answer
    x = 119,014.16

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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.