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Finding the Fourth Proportional to 137,428.14, 189,657.84 and 79,263.25

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Solution

The fourth proportional to 137,428.14, 189,657.84 and 79,263.25 is: 109,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,428.14 : 189,657.84 = 79,263.25 : x
  2. Step 2: Convert to fraction form
    137,428.14/189,657.84 = 79,263.25/x
  3. Step 3: Cross multiply
    137,428.14x = 189,657.84 × 79,263.25
  4. Step 4: Simplify right side
    137,428.14x = 15,032,895,441.77
  5. Step 5: Solve for x
    x = 15,032,895,441.77/137,428.14
  6. Step 6: Final answer
    x = 109,387.32

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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.