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Finding the Fourth Proportional to 119,171.86, 178,671.17 and 55,959.42

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Solution

The fourth proportional to 119,171.86, 178,671.17 and 55,959.42 is: 83,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,171.86 : 178,671.17 = 55,959.42 : x
  2. Step 2: Convert to fraction form
    119,171.86/178,671.17 = 55,959.42/x
  3. Step 3: Cross multiply
    119,171.86x = 178,671.17 × 55,959.42
  4. Step 4: Simplify right side
    119,171.86x = 9,998,335,539.07
  5. Step 5: Solve for x
    x = 9,998,335,539.07/119,171.86
  6. Step 6: Final answer
    x = 83,898.46

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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.