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Finding the Fourth Proportional to 256,064.42, 384,138.35 and 96,152.73

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Solution

The fourth proportional to 256,064.42, 384,138.35 and 96,152.73 is: 144,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,064.42 : 384,138.35 = 96,152.73 : x
  2. Step 2: Convert to fraction form
    256,064.42/384,138.35 = 96,152.73/x
  3. Step 3: Cross multiply
    256,064.42x = 384,138.35 × 96,152.73
  4. Step 4: Simplify right side
    256,064.42x = 36,935,950,569.43
  5. Step 5: Solve for x
    x = 36,935,950,569.43/256,064.42
  6. Step 6: Final answer
    x = 144,244.76

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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.