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Finding the Fourth Proportional to 305,091.84, 457,452.48 and 136,580.16

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Solution

The fourth proportional to 305,091.84, 457,452.48 and 136,580.16 is: 204,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,091.84 : 457,452.48 = 136,580.16 : x
  2. Step 2: Convert to fraction form
    305,091.84/457,452.48 = 136,580.16/x
  3. Step 3: Cross multiply
    305,091.84x = 457,452.48 × 136,580.16
  4. Step 4: Simplify right side
    305,091.84x = 62,478,932,910.80
  5. Step 5: Solve for x
    x = 62,478,932,910.80/305,091.84
  6. Step 6: Final answer
    x = 204,787.30

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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.