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Finding the Fourth Proportional to 116,565.74, 160,860.46 and 65,578.49

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Solution

The fourth proportional to 116,565.74, 160,860.46 and 65,578.49 is: 90,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,565.74 : 160,860.46 = 65,578.49 : x
  2. Step 2: Convert to fraction form
    116,565.74/160,860.46 = 65,578.49/x
  3. Step 3: Cross multiply
    116,565.74x = 160,860.46 × 65,578.49
  4. Step 4: Simplify right side
    116,565.74x = 10,548,986,067.51
  5. Step 5: Solve for x
    x = 10,548,986,067.51/116,565.74
  6. Step 6: Final answer
    x = 90,498.17

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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.