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Finding the Fourth Proportional to 181,421.80, 272,133.24 and 55,063.06

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Solution

The fourth proportional to 181,421.80, 272,133.24 and 55,063.06 is: 82,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,421.80 : 272,133.24 = 55,063.06 : x
  2. Step 2: Convert to fraction form
    181,421.80/272,133.24 = 55,063.06/x
  3. Step 3: Cross multiply
    181,421.80x = 272,133.24 × 55,063.06
  4. Step 4: Simplify right side
    181,421.80x = 14,984,488,922.11
  5. Step 5: Solve for x
    x = 14,984,488,922.11/181,421.80
  6. Step 6: Final answer
    x = 82,594.75

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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.