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Finding the Fourth Proportional to 228,924.96, 315,809.85 and 148,378.56

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Solution

The fourth proportional to 228,924.96, 315,809.85 and 148,378.56 is: 204,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,924.96 : 315,809.85 = 148,378.56 : x
  2. Step 2: Convert to fraction form
    228,924.96/315,809.85 = 148,378.56/x
  3. Step 3: Cross multiply
    228,924.96x = 315,809.85 × 148,378.56
  4. Step 4: Simplify right side
    228,924.96x = 46,859,410,776.82
  5. Step 5: Solve for x
    x = 46,859,410,776.82/228,924.96
  6. Step 6: Final answer
    x = 204,693.32

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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.