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Finding the Fourth Proportional to 152,105, 209,905.62 and 85,049.96

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Solution

The fourth proportional to 152,105, 209,905.62 and 85,049.96 is: 117,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,105 : 209,905.62 = 85,049.96 : x
  2. Step 2: Convert to fraction form
    152,105/209,905.62 = 85,049.96/x
  3. Step 3: Cross multiply
    152,105x = 209,905.62 × 85,049.96
  4. Step 4: Simplify right side
    152,105x = 17,852,464,584.78
  5. Step 5: Solve for x
    x = 17,852,464,584.78/152,105
  6. Step 6: Final answer
    x = 117,369.35

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