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Finding the Fourth Proportional to 223,617.16, 335,484.06 and 83,377

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Solution

The fourth proportional to 223,617.16, 335,484.06 and 83,377 is: 125,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,617.16 : 335,484.06 = 83,377 : x
  2. Step 2: Convert to fraction form
    223,617.16/335,484.06 = 83,377/x
  3. Step 3: Cross multiply
    223,617.16x = 335,484.06 × 83,377
  4. Step 4: Simplify right side
    223,617.16x = 27,971,654,470.62
  5. Step 5: Solve for x
    x = 27,971,654,470.62/223,617.16
  6. Step 6: Final answer
    x = 125,087.24

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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.