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Finding the Fourth Proportional to 256,211.61, 384,550.64 and 136,369.17

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Solution

The fourth proportional to 256,211.61, 384,550.64 and 136,369.17 is: 204,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,211.61 : 384,550.64 = 136,369.17 : x
  2. Step 2: Convert to fraction form
    256,211.61/384,550.64 = 136,369.17/x
  3. Step 3: Cross multiply
    256,211.61x = 384,550.64 × 136,369.17
  4. Step 4: Simplify right side
    256,211.61x = 52,440,850,917.92
  5. Step 5: Solve for x
    x = 52,440,850,917.92/256,211.61
  6. Step 6: Final answer
    x = 204,677.89

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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.