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Finding the Fourth Proportional to 154,582.38, 213,323.68 and 87,514.38

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Solution

The fourth proportional to 154,582.38, 213,323.68 and 87,514.38 is: 120,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,582.38 : 213,323.68 = 87,514.38 : x
  2. Step 2: Convert to fraction form
    154,582.38/213,323.68 = 87,514.38/x
  3. Step 3: Cross multiply
    154,582.38x = 213,323.68 × 87,514.38
  4. Step 4: Simplify right side
    154,582.38x = 18,668,889,594.52
  5. Step 5: Solve for x
    x = 18,668,889,594.52/154,582.38
  6. Step 6: Final answer
    x = 120,769.84

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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.