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Finding the Fourth Proportional to 152,138.53, 209,935.01 and 84,144.70

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Solution

The fourth proportional to 152,138.53, 209,935.01 and 84,144.70 is: 116,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,138.53 : 209,935.01 = 84,144.70 : x
  2. Step 2: Convert to fraction form
    152,138.53/209,935.01 = 84,144.70/x
  3. Step 3: Cross multiply
    152,138.53x = 209,935.01 × 84,144.70
  4. Step 4: Simplify right side
    152,138.53x = 17,664,918,435.95
  5. Step 5: Solve for x
    x = 17,664,918,435.95/152,138.53
  6. Step 6: Final answer
    x = 116,110.75

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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.