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Finding the Fourth Proportional to 115,399.75, 159,232.41 and 77,097.89

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Solution

The fourth proportional to 115,399.75, 159,232.41 and 77,097.89 is: 106,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,399.75 : 159,232.41 = 77,097.89 : x
  2. Step 2: Convert to fraction form
    115,399.75/159,232.41 = 77,097.89/x
  3. Step 3: Cross multiply
    115,399.75x = 159,232.41 × 77,097.89
  4. Step 4: Simplify right side
    115,399.75x = 12,276,482,830.61
  5. Step 5: Solve for x
    x = 12,276,482,830.61/115,399.75
  6. Step 6: Final answer
    x = 106,382.23

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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.