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Finding the Fourth Proportional to 205,565.93, 283,768.42 and 125,019.32

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Solution

The fourth proportional to 205,565.93, 283,768.42 and 125,019.32 is: 172,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,565.93 : 283,768.42 = 125,019.32 : x
  2. Step 2: Convert to fraction form
    205,565.93/283,768.42 = 125,019.32/x
  3. Step 3: Cross multiply
    205,565.93x = 283,768.42 × 125,019.32
  4. Step 4: Simplify right side
    205,565.93x = 35,476,534,905.87
  5. Step 5: Solve for x
    x = 35,476,534,905.87/205,565.93
  6. Step 6: Final answer
    x = 172,579.84

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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.