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Finding the Fourth Proportional to 150,565.61, 207,786.36 and 82,585.45

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Solution

The fourth proportional to 150,565.61, 207,786.36 and 82,585.45 is: 113,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,565.61 : 207,786.36 = 82,585.45 : x
  2. Step 2: Convert to fraction form
    150,565.61/207,786.36 = 82,585.45/x
  3. Step 3: Cross multiply
    150,565.61x = 207,786.36 × 82,585.45
  4. Step 4: Simplify right side
    150,565.61x = 17,160,129,332.68
  5. Step 5: Solve for x
    x = 17,160,129,332.68/150,565.61
  6. Step 6: Final answer
    x = 113,971.11

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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.