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Finding the Fourth Proportional to 273,148.20, 409,952.70 and 133,026.60

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Solution

The fourth proportional to 273,148.20, 409,952.70 and 133,026.60 is: 199,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,148.20 : 409,952.70 = 133,026.60 : x
  2. Step 2: Convert to fraction form
    273,148.20/409,952.70 = 133,026.60/x
  3. Step 3: Cross multiply
    273,148.20x = 409,952.70 × 133,026.60
  4. Step 4: Simplify right side
    273,148.20x = 54,534,613,841.82
  5. Step 5: Solve for x
    x = 54,534,613,841.82/273,148.20
  6. Step 6: Final answer
    x = 199,652.11

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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.