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Finding the Fourth Proportional to 162,923.59, 244,067.21 and 77,412.75

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Solution

The fourth proportional to 162,923.59, 244,067.21 and 77,412.75 is: 115,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,923.59 : 244,067.21 = 77,412.75 : x
  2. Step 2: Convert to fraction form
    162,923.59/244,067.21 = 77,412.75/x
  3. Step 3: Cross multiply
    162,923.59x = 244,067.21 × 77,412.75
  4. Step 4: Simplify right side
    162,923.59x = 18,893,912,898.91
  5. Step 5: Solve for x
    x = 18,893,912,898.91/162,923.59
  6. Step 6: Final answer
    x = 115,967.94

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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.