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Finding the Fourth Proportional to 214,590.76, 321,898.44 and 56,815.11

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Solution

The fourth proportional to 214,590.76, 321,898.44 and 56,815.11 is: 85,225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,590.76 : 321,898.44 = 56,815.11 : x
  2. Step 2: Convert to fraction form
    214,590.76/321,898.44 = 56,815.11/x
  3. Step 3: Cross multiply
    214,590.76x = 321,898.44 × 56,815.11
  4. Step 4: Simplify right side
    214,590.76x = 18,288,695,277.43
  5. Step 5: Solve for x
    x = 18,288,695,277.43/214,590.76
  6. Step 6: Final answer
    x = 85,225.92

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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.