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Finding the Fourth Proportional to 169,586.64, 233,962.68 and 97,952.64

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Solution

The fourth proportional to 169,586.64, 233,962.68 and 97,952.64 is: 135,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,586.64 : 233,962.68 = 97,952.64 : x
  2. Step 2: Convert to fraction form
    169,586.64/233,962.68 = 97,952.64/x
  3. Step 3: Cross multiply
    169,586.64x = 233,962.68 × 97,952.64
  4. Step 4: Simplify right side
    169,586.64x = 22,917,262,167.48
  5. Step 5: Solve for x
    x = 22,917,262,167.48/169,586.64
  6. Step 6: Final answer
    x = 135,136.01

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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.