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Finding the Fourth Proportional to 256,771.76, 385,248.83 and 114,604.11

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Solution

The fourth proportional to 256,771.76, 385,248.83 and 114,604.11 is: 171,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,771.76 : 385,248.83 = 114,604.11 : x
  2. Step 2: Convert to fraction form
    256,771.76/385,248.83 = 114,604.11/x
  3. Step 3: Cross multiply
    256,771.76x = 385,248.83 × 114,604.11
  4. Step 4: Simplify right side
    256,771.76x = 44,151,098,717.67
  5. Step 5: Solve for x
    x = 44,151,098,717.67/256,771.76
  6. Step 6: Final answer
    x = 171,946.87

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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.