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Finding the Fourth Proportional to 280,204, 386,681.52 and 179,602.24

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Solution

The fourth proportional to 280,204, 386,681.52 and 179,602.24 is: 247,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,204 : 386,681.52 = 179,602.24 : x
  2. Step 2: Convert to fraction form
    280,204/386,681.52 = 179,602.24/x
  3. Step 3: Cross multiply
    280,204x = 386,681.52 × 179,602.24
  4. Step 4: Simplify right side
    280,204x = 69,448,867,158.60
  5. Step 5: Solve for x
    x = 69,448,867,158.60/280,204
  6. Step 6: Final answer
    x = 247,851.09

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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.