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Finding the Fourth Proportional to 256,091.37, 383,207.45 and 185,156.03

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Solution

The fourth proportional to 256,091.37, 383,207.45 and 185,156.03 is: 277,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,091.37 : 383,207.45 = 185,156.03 : x
  2. Step 2: Convert to fraction form
    256,091.37/383,207.45 = 185,156.03/x
  3. Step 3: Cross multiply
    256,091.37x = 383,207.45 × 185,156.03
  4. Step 4: Simplify right side
    256,091.37x = 70,953,167,266.61
  5. Step 5: Solve for x
    x = 70,953,167,266.61/256,091.37
  6. Step 6: Final answer
    x = 277,061.92

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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.