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Finding the Fourth Proportional to 136,309.50, 204,471.54 and 42,822.54

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Solution

The fourth proportional to 136,309.50, 204,471.54 and 42,822.54 is: 64,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,309.50 : 204,471.54 = 42,822.54 : x
  2. Step 2: Convert to fraction form
    136,309.50/204,471.54 = 42,822.54/x
  3. Step 3: Cross multiply
    136,309.50x = 204,471.54 × 42,822.54
  4. Step 4: Simplify right side
    136,309.50x = 8,755,990,700.51
  5. Step 5: Solve for x
    x = 8,755,990,700.51/136,309.50
  6. Step 6: Final answer
    x = 64,236.10

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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.