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Finding the Fourth Proportional to 268,588.96, 402,921.72 and 100,094.88

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Solution

The fourth proportional to 268,588.96, 402,921.72 and 100,094.88 is: 150,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,588.96 : 402,921.72 = 100,094.88 : x
  2. Step 2: Convert to fraction form
    268,588.96/402,921.72 = 100,094.88/x
  3. Step 3: Cross multiply
    268,588.96x = 402,921.72 × 100,094.88
  4. Step 4: Simplify right side
    268,588.96x = 40,330,401,212.79
  5. Step 5: Solve for x
    x = 40,330,401,212.79/268,588.96
  6. Step 6: Final answer
    x = 150,156.59

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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.