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Finding the Fourth Proportional to 182,001.80, 272,954.10 and 55,641.80

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Solution

The fourth proportional to 182,001.80, 272,954.10 and 55,641.80 is: 83,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,001.80 : 272,954.10 = 55,641.80 : x
  2. Step 2: Convert to fraction form
    182,001.80/272,954.10 = 55,641.80/x
  3. Step 3: Cross multiply
    182,001.80x = 272,954.10 × 55,641.80
  4. Step 4: Simplify right side
    182,001.80x = 15,187,657,441.38
  5. Step 5: Solve for x
    x = 15,187,657,441.38/182,001.80
  6. Step 6: Final answer
    x = 83,447.84

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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.