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Finding the Fourth Proportional to 204,952.60, 307,140.90 and 162,904.60

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Solution

The fourth proportional to 204,952.60, 307,140.90 and 162,904.60 is: 244,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,952.60 : 307,140.90 = 162,904.60 : x
  2. Step 2: Convert to fraction form
    204,952.60/307,140.90 = 162,904.60/x
  3. Step 3: Cross multiply
    204,952.60x = 307,140.90 × 162,904.60
  4. Step 4: Simplify right side
    204,952.60x = 50,034,665,458.14
  5. Step 5: Solve for x
    x = 50,034,665,458.14/204,952.60
  6. Step 6: Final answer
    x = 244,127.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.