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Finding the Fourth Proportional to 243,282.81, 335,706.42 and 166,867.17

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Solution

The fourth proportional to 243,282.81, 335,706.42 and 166,867.17 is: 230,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,282.81 : 335,706.42 = 166,867.17 : x
  2. Step 2: Convert to fraction form
    243,282.81/335,706.42 = 166,867.17/x
  3. Step 3: Cross multiply
    243,282.81x = 335,706.42 × 166,867.17
  4. Step 4: Simplify right side
    243,282.81x = 56,018,380,256.23
  5. Step 5: Solve for x
    x = 56,018,380,256.23/243,282.81
  6. Step 6: Final answer
    x = 230,260.33

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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.