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Finding the Fourth Proportional to 219,443.85, 302,711.25 and 178,651.86

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Solution

The fourth proportional to 219,443.85, 302,711.25 and 178,651.86 is: 246,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,443.85 : 302,711.25 = 178,651.86 : x
  2. Step 2: Convert to fraction form
    219,443.85/302,711.25 = 178,651.86/x
  3. Step 3: Cross multiply
    219,443.85x = 302,711.25 × 178,651.86
  4. Step 4: Simplify right side
    219,443.85x = 54,079,927,855.43
  5. Step 5: Solve for x
    x = 54,079,927,855.43/219,443.85
  6. Step 6: Final answer
    x = 246,440.85

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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.