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Finding the Fourth Proportional to 207,919.38, 286,928.91 and 112,426.14

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Solution

The fourth proportional to 207,919.38, 286,928.91 and 112,426.14 is: 155,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,919.38 : 286,928.91 = 112,426.14 : x
  2. Step 2: Convert to fraction form
    207,919.38/286,928.91 = 112,426.14/x
  3. Step 3: Cross multiply
    207,919.38x = 286,928.91 × 112,426.14
  4. Step 4: Simplify right side
    207,919.38x = 32,258,309,805.71
  5. Step 5: Solve for x
    x = 32,258,309,805.71/207,919.38
  6. Step 6: Final answer
    x = 155,148.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.