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Finding the Fourth Proportional to 86,356, 129,538.32 and 81,811.36

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Solution

The fourth proportional to 86,356, 129,538.32 and 81,811.36 is: 122,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,356 : 129,538.32 = 81,811.36 : x
  2. Step 2: Convert to fraction form
    86,356/129,538.32 = 81,811.36/x
  3. Step 3: Cross multiply
    86,356x = 129,538.32 × 81,811.36
  4. Step 4: Simplify right side
    86,356x = 10,597,706,131.32
  5. Step 5: Solve for x
    x = 10,597,706,131.32/86,356
  6. Step 6: Final answer
    x = 122,721.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.