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Finding the Fourth Proportional to 133,062.65, 199,593.98 and 85,823.45

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Solution

The fourth proportional to 133,062.65, 199,593.98 and 85,823.45 is: 128,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,062.65 : 199,593.98 = 85,823.45 : x
  2. Step 2: Convert to fraction form
    133,062.65/199,593.98 = 85,823.45/x
  3. Step 3: Cross multiply
    133,062.65x = 199,593.98 × 85,823.45
  4. Step 4: Simplify right side
    133,062.65x = 17,129,843,962.83
  5. Step 5: Solve for x
    x = 17,129,843,962.83/133,062.65
  6. Step 6: Final answer
    x = 128,735.18

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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.