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Finding the Fourth Proportional to 181,563.93, 272,345.49 and 86,505.57

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Solution

The fourth proportional to 181,563.93, 272,345.49 and 86,505.57 is: 129,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,563.93 : 272,345.49 = 86,505.57 : x
  2. Step 2: Convert to fraction form
    181,563.93/272,345.49 = 86,505.57/x
  3. Step 3: Cross multiply
    181,563.93x = 272,345.49 × 86,505.57
  4. Step 4: Simplify right side
    181,563.93x = 23,559,401,849.38
  5. Step 5: Solve for x
    x = 23,559,401,849.38/181,563.93
  6. Step 6: Final answer
    x = 129,758.16

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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.