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Finding the Fourth Proportional to 157,408.98, 217,218.05 and 85,787.46

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Solution

The fourth proportional to 157,408.98, 217,218.05 and 85,787.46 is: 118,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,408.98 : 217,218.05 = 85,787.46 : x
  2. Step 2: Convert to fraction form
    157,408.98/217,218.05 = 85,787.46/x
  3. Step 3: Cross multiply
    157,408.98x = 217,218.05 × 85,787.46
  4. Step 4: Simplify right side
    157,408.98x = 18,634,584,775.65
  5. Step 5: Solve for x
    x = 18,634,584,775.65/157,408.98
  6. Step 6: Final answer
    x = 118,383.24

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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.