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Finding the Fourth Proportional to 157,886.27, 217,883.25 and 86,266.29

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Solution

The fourth proportional to 157,886.27, 217,883.25 and 86,266.29 is: 119,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,886.27 : 217,883.25 = 86,266.29 : x
  2. Step 2: Convert to fraction form
    157,886.27/217,883.25 = 86,266.29/x
  3. Step 3: Cross multiply
    157,886.27x = 217,883.25 × 86,266.29
  4. Step 4: Simplify right side
    157,886.27x = 18,795,979,744.02
  5. Step 5: Solve for x
    x = 18,795,979,744.02/157,886.27
  6. Step 6: Final answer
    x = 119,047.59

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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.