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Finding the Fourth Proportional to 283,787.74, 425,725.35 and 96,755.50

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Solution

The fourth proportional to 283,787.74, 425,725.35 and 96,755.50 is: 145,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,787.74 : 425,725.35 = 96,755.50 : x
  2. Step 2: Convert to fraction form
    283,787.74/425,725.35 = 96,755.50/x
  3. Step 3: Cross multiply
    283,787.74x = 425,725.35 × 96,755.50
  4. Step 4: Simplify right side
    283,787.74x = 41,191,269,101.93
  5. Step 5: Solve for x
    x = 41,191,269,101.93/283,787.74
  6. Step 6: Final answer
    x = 145,148.16

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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.