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Finding the Fourth Proportional to 226,974, 313,226.28 and 126,374.16

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Solution

The fourth proportional to 226,974, 313,226.28 and 126,374.16 is: 174,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,974 : 313,226.28 = 126,374.16 : x
  2. Step 2: Convert to fraction form
    226,974/313,226.28 = 126,374.16/x
  3. Step 3: Cross multiply
    226,974x = 313,226.28 × 126,374.16
  4. Step 4: Simplify right side
    226,974x = 39,583,708,024.92
  5. Step 5: Solve for x
    x = 39,583,708,024.92/226,974
  6. Step 6: Final answer
    x = 174,397.54

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1.5x scale

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.