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Finding the Fourth Proportional to 256,230.42, 383,823.48 and 154,966.86

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Solution

The fourth proportional to 256,230.42, 383,823.48 and 154,966.86 is: 232,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,230.42 : 383,823.48 = 154,966.86 : x
  2. Step 2: Convert to fraction form
    256,230.42/383,823.48 = 154,966.86/x
  3. Step 3: Cross multiply
    256,230.42x = 383,823.48 × 154,966.86
  4. Step 4: Simplify right side
    256,230.42x = 59,479,919,489.87
  5. Step 5: Solve for x
    x = 59,479,919,489.87/256,230.42
  6. Step 6: Final answer
    x = 232,134.50

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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.