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Finding the Fourth Proportional to 215,466, 323,234.02 and 63,678.48

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Solution

The fourth proportional to 215,466, 323,234.02 and 63,678.48 is: 95,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,466 : 323,234.02 = 63,678.48 : x
  2. Step 2: Convert to fraction form
    215,466/323,234.02 = 63,678.48/x
  3. Step 3: Cross multiply
    215,466x = 323,234.02 × 63,678.48
  4. Step 4: Simplify right side
    215,466x = 20,583,051,077.89
  5. Step 5: Solve for x
    x = 20,583,051,077.89/215,466
  6. Step 6: Final answer
    x = 95,528.07

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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.