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Finding the Fourth Proportional to 168,960, 233,164.80 and 98,304

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Solution

The fourth proportional to 168,960, 233,164.80 and 98,304 is: 135,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,960 : 233,164.80 = 98,304 : x
  2. Step 2: Convert to fraction form
    168,960/233,164.80 = 98,304/x
  3. Step 3: Cross multiply
    168,960x = 233,164.80 × 98,304
  4. Step 4: Simplify right side
    168,960x = 22,921,032,499.20
  5. Step 5: Solve for x
    x = 22,921,032,499.20/168,960
  6. Step 6: Final answer
    x = 135,659.52

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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.