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Finding the Fourth Proportional to 181,853.09, 272,779.65 and 55,494

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Solution

The fourth proportional to 181,853.09, 272,779.65 and 55,494 is: 83,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,853.09 : 272,779.65 = 55,494 : x
  2. Step 2: Convert to fraction form
    181,853.09/272,779.65 = 55,494/x
  3. Step 3: Cross multiply
    181,853.09x = 272,779.65 × 55,494
  4. Step 4: Simplify right side
    181,853.09x = 15,137,633,897.10
  5. Step 5: Solve for x
    x = 15,137,633,897.10/181,853.09
  6. Step 6: Final answer
    x = 83,241.01

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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.