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Finding the Fourth Proportional to 153,716.62, 230,565.60 and 57,634.86

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Solution

The fourth proportional to 153,716.62, 230,565.60 and 57,634.86 is: 86,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,716.62 : 230,565.60 = 57,634.86 : x
  2. Step 2: Convert to fraction form
    153,716.62/230,565.60 = 57,634.86/x
  3. Step 3: Cross multiply
    153,716.62x = 230,565.60 × 57,634.86
  4. Step 4: Simplify right side
    153,716.62x = 13,288,616,076.82
  5. Step 5: Solve for x
    x = 13,288,616,076.82/153,716.62
  6. Step 6: Final answer
    x = 86,448.79

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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.