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Finding the Fourth Proportional to 202,975.92, 280,101 and 112,335.64

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Solution

The fourth proportional to 202,975.92, 280,101 and 112,335.64 is: 155,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,975.92 : 280,101 = 112,335.64 : x
  2. Step 2: Convert to fraction form
    202,975.92/280,101 = 112,335.64/x
  3. Step 3: Cross multiply
    202,975.92x = 280,101 × 112,335.64
  4. Step 4: Simplify right side
    202,975.92x = 31,465,325,099.64
  5. Step 5: Solve for x
    x = 31,465,325,099.64/202,975.92
  6. Step 6: Final answer
    x = 155,019.99

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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.