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Finding the Fourth Proportional to 157,456.36, 217,289.16 and 85,836.16

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Solution

The fourth proportional to 157,456.36, 217,289.16 and 85,836.16 is: 118,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,456.36 : 217,289.16 = 85,836.16 : x
  2. Step 2: Convert to fraction form
    157,456.36/217,289.16 = 85,836.16/x
  3. Step 3: Cross multiply
    157,456.36x = 217,289.16 × 85,836.16
  4. Step 4: Simplify right side
    157,456.36x = 18,651,267,104.03
  5. Step 5: Solve for x
    x = 18,651,267,104.03/157,456.36
  6. Step 6: Final answer
    x = 118,453.56

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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.