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Finding the Fourth Proportional to 157,565.20, 236,578.20 and 111,024.40

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Solution

The fourth proportional to 157,565.20, 236,578.20 and 111,024.40 is: 166,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,565.20 : 236,578.20 = 111,024.40 : x
  2. Step 2: Convert to fraction form
    157,565.20/236,578.20 = 111,024.40/x
  3. Step 3: Cross multiply
    157,565.20x = 236,578.20 × 111,024.40
  4. Step 4: Simplify right side
    157,565.20x = 26,265,952,708.08
  5. Step 5: Solve for x
    x = 26,265,952,708.08/157,565.20
  6. Step 6: Final answer
    x = 166,698.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.