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Finding the Fourth Proportional to 157,692.29, 217,616.31 and 86,070.78

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Solution

The fourth proportional to 157,692.29, 217,616.31 and 86,070.78 is: 118,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,692.29 : 217,616.31 = 86,070.78 : x
  2. Step 2: Convert to fraction form
    157,692.29/217,616.31 = 86,070.78/x
  3. Step 3: Cross multiply
    157,692.29x = 217,616.31 × 86,070.78
  4. Step 4: Simplify right side
    157,692.29x = 18,730,405,542.42
  5. Step 5: Solve for x
    x = 18,730,405,542.42/157,692.29
  6. Step 6: Final answer
    x = 118,778.19

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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.