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Finding the Fourth Proportional to 107,908.84, 149,030.38 and 82,140.32

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Solution

The fourth proportional to 107,908.84, 149,030.38 and 82,140.32 is: 113,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,908.84 : 149,030.38 = 82,140.32 : x
  2. Step 2: Convert to fraction form
    107,908.84/149,030.38 = 82,140.32/x
  3. Step 3: Cross multiply
    107,908.84x = 149,030.38 × 82,140.32
  4. Step 4: Simplify right side
    107,908.84x = 12,241,403,102.92
  5. Step 5: Solve for x
    x = 12,241,403,102.92/107,908.84
  6. Step 6: Final answer
    x = 113,442.08

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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.