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Finding the Fourth Proportional to 153,424.80, 211,363.20 and 146,338.56

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Solution

The fourth proportional to 153,424.80, 211,363.20 and 146,338.56 is: 201,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,424.80 : 211,363.20 = 146,338.56 : x
  2. Step 2: Convert to fraction form
    153,424.80/211,363.20 = 146,338.56/x
  3. Step 3: Cross multiply
    153,424.80x = 211,363.20 × 146,338.56
  4. Step 4: Simplify right side
    153,424.80x = 30,930,586,324.99
  5. Step 5: Solve for x
    x = 30,930,586,324.99/153,424.80
  6. Step 6: Final answer
    x = 201,600.96

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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.