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Finding the Fourth Proportional to 181,402.18, 272,103.80 and 55,043.46

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Solution

The fourth proportional to 181,402.18, 272,103.80 and 55,043.46 is: 82,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,402.18 : 272,103.80 = 55,043.46 : x
  2. Step 2: Convert to fraction form
    181,402.18/272,103.80 = 55,043.46/x
  3. Step 3: Cross multiply
    181,402.18x = 272,103.80 × 55,043.46
  4. Step 4: Simplify right side
    181,402.18x = 14,977,534,631.15
  5. Step 5: Solve for x
    x = 14,977,534,631.15/181,402.18
  6. Step 6: Final answer
    x = 82,565.35

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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.