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Finding the Fourth Proportional to 148,476, 222,709.68 and 54,979.68

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Solution

The fourth proportional to 148,476, 222,709.68 and 54,979.68 is: 82,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,476 : 222,709.68 = 54,979.68 : x
  2. Step 2: Convert to fraction form
    148,476/222,709.68 = 54,979.68/x
  3. Step 3: Cross multiply
    148,476x = 222,709.68 × 54,979.68
  4. Step 4: Simplify right side
    148,476x = 12,244,506,939.30
  5. Step 5: Solve for x
    x = 12,244,506,939.30/148,476
  6. Step 6: Final answer
    x = 82,467.92

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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.