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Finding the Fourth Proportional to 169,549.44, 233,924.16 and 97,920

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Solution

The fourth proportional to 169,549.44, 233,924.16 and 97,920 is: 135,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,549.44 : 233,924.16 = 97,920 : x
  2. Step 2: Convert to fraction form
    169,549.44/233,924.16 = 97,920/x
  3. Step 3: Cross multiply
    169,549.44x = 233,924.16 × 97,920
  4. Step 4: Simplify right side
    169,549.44x = 22,905,853,747.20
  5. Step 5: Solve for x
    x = 22,905,853,747.20/169,549.44
  6. Step 6: Final answer
    x = 135,098.37

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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.