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Finding the Fourth Proportional to 157,876.89, 217,884.90 and 86,267.52

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Solution

The fourth proportional to 157,876.89, 217,884.90 and 86,267.52 is: 119,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,876.89 : 217,884.90 = 86,267.52 : x
  2. Step 2: Convert to fraction form
    157,876.89/217,884.90 = 86,267.52/x
  3. Step 3: Cross multiply
    157,876.89x = 217,884.90 × 86,267.52
  4. Step 4: Simplify right side
    157,876.89x = 18,796,389,968.45
  5. Step 5: Solve for x
    x = 18,796,389,968.45/157,876.89
  6. Step 6: Final answer
    x = 119,057.26

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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.