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Finding the Fourth Proportional to 151,709.91, 209,357.75 and 87,178.38

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Solution

The fourth proportional to 151,709.91, 209,357.75 and 87,178.38 is: 120,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,709.91 : 209,357.75 = 87,178.38 : x
  2. Step 2: Convert to fraction form
    151,709.91/209,357.75 = 87,178.38/x
  3. Step 3: Cross multiply
    151,709.91x = 209,357.75 × 87,178.38
  4. Step 4: Simplify right side
    151,709.91x = 18,251,468,795.70
  5. Step 5: Solve for x
    x = 18,251,468,795.70/151,709.91
  6. Step 6: Final answer
    x = 120,305.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.