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Finding the Fourth Proportional to 115,422, 159,282.36 and 81,946.32

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Solution

The fourth proportional to 115,422, 159,282.36 and 81,946.32 is: 113,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,422 : 159,282.36 = 81,946.32 : x
  2. Step 2: Convert to fraction form
    115,422/159,282.36 = 81,946.32/x
  3. Step 3: Cross multiply
    115,422x = 159,282.36 × 81,946.32
  4. Step 4: Simplify right side
    115,422x = 13,052,603,242.92
  5. Step 5: Solve for x
    x = 13,052,603,242.92/115,422
  6. Step 6: Final answer
    x = 113,085.92

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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.