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Finding the Fourth Proportional to 212,269.52, 318,392.76 and 64,514

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Solution

The fourth proportional to 212,269.52, 318,392.76 and 64,514 is: 96,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,269.52 : 318,392.76 = 64,514 : x
  2. Step 2: Convert to fraction form
    212,269.52/318,392.76 = 64,514/x
  3. Step 3: Cross multiply
    212,269.52x = 318,392.76 × 64,514
  4. Step 4: Simplify right side
    212,269.52x = 20,540,790,518.64
  5. Step 5: Solve for x
    x = 20,540,790,518.64/212,269.52
  6. Step 6: Final answer
    x = 96,767.50

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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.