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Finding the Fourth Proportional to 181,842.93, 272,758.02 and 55,478.07

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Solution

The fourth proportional to 181,842.93, 272,758.02 and 55,478.07 is: 83,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,842.93 : 272,758.02 = 55,478.07 : x
  2. Step 2: Convert to fraction form
    181,842.93/272,758.02 = 55,478.07/x
  3. Step 3: Cross multiply
    181,842.93x = 272,758.02 × 55,478.07
  4. Step 4: Simplify right side
    181,842.93x = 15,132,088,526.62
  5. Step 5: Solve for x
    x = 15,132,088,526.62/181,842.93
  6. Step 6: Final answer
    x = 83,215.16

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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.