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Finding the Fourth Proportional to 219,116.38, 302,380.62 and 118,514.38

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Solution

The fourth proportional to 219,116.38, 302,380.62 and 118,514.38 is: 163,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,116.38 : 302,380.62 = 118,514.38 : x
  2. Step 2: Convert to fraction form
    219,116.38/302,380.62 = 118,514.38/x
  3. Step 3: Cross multiply
    219,116.38x = 302,380.62 × 118,514.38
  4. Step 4: Simplify right side
    219,116.38x = 35,836,451,703.32
  5. Step 5: Solve for x
    x = 35,836,451,703.32/219,116.38
  6. Step 6: Final answer
    x = 163,549.85

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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.