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Finding the Fourth Proportional to 152,141.53, 209,939.16 and 84,147.70

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Solution

The fourth proportional to 152,141.53, 209,939.16 and 84,147.70 is: 116,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,141.53 : 209,939.16 = 84,147.70 : x
  2. Step 2: Convert to fraction form
    152,141.53/209,939.16 = 84,147.70/x
  3. Step 3: Cross multiply
    152,141.53x = 209,939.16 × 84,147.70
  4. Step 4: Simplify right side
    152,141.53x = 17,665,897,453.93
  5. Step 5: Solve for x
    x = 17,665,897,453.93/152,141.53
  6. Step 6: Final answer
    x = 116,114.89

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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.