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Finding the Fourth Proportional to 264,753.43, 365,412.87 and 157,302.78

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Solution

The fourth proportional to 264,753.43, 365,412.87 and 157,302.78 is: 217,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,753.43 : 365,412.87 = 157,302.78 : x
  2. Step 2: Convert to fraction form
    264,753.43/365,412.87 = 157,302.78/x
  3. Step 3: Cross multiply
    264,753.43x = 365,412.87 × 157,302.78
  4. Step 4: Simplify right side
    264,753.43x = 57,480,458,928.48
  5. Step 5: Solve for x
    x = 57,480,458,928.48/264,753.43
  6. Step 6: Final answer
    x = 217,109.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.