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Finding the Fourth Proportional to 137,603.28, 189,913.28 and 83,919.44

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Solution

The fourth proportional to 137,603.28, 189,913.28 and 83,919.44 is: 115,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,603.28 : 189,913.28 = 83,919.44 : x
  2. Step 2: Convert to fraction form
    137,603.28/189,913.28 = 83,919.44/x
  3. Step 3: Cross multiply
    137,603.28x = 189,913.28 × 83,919.44
  4. Step 4: Simplify right side
    137,603.28x = 15,937,416,106.16
  5. Step 5: Solve for x
    x = 15,937,416,106.16/137,603.28
  6. Step 6: Final answer
    x = 115,821.48

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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.