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Finding the Fourth Proportional to 210,049.60, 315,073.74 and 52,278.10

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Solution

The fourth proportional to 210,049.60, 315,073.74 and 52,278.10 is: 78,416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,049.60 : 315,073.74 = 52,278.10 : x
  2. Step 2: Convert to fraction form
    210,049.60/315,073.74 = 52,278.10/x
  3. Step 3: Cross multiply
    210,049.60x = 315,073.74 × 52,278.10
  4. Step 4: Simplify right side
    210,049.60x = 16,471,456,487.09
  5. Step 5: Solve for x
    x = 16,471,456,487.09/210,049.60
  6. Step 6: Final answer
    x = 78,416.99

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1.5x scale

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.