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Finding the Fourth Proportional to 204,870.60, 307,017.90 and 162,822.60

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Solution

The fourth proportional to 204,870.60, 307,017.90 and 162,822.60 is: 244,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,870.60 : 307,017.90 = 162,822.60 : x
  2. Step 2: Convert to fraction form
    204,870.60/307,017.90 = 162,822.60/x
  3. Step 3: Cross multiply
    204,870.60x = 307,017.90 × 162,822.60
  4. Step 4: Simplify right side
    204,870.60x = 49,989,452,724.54
  5. Step 5: Solve for x
    x = 49,989,452,724.54/204,870.60
  6. Step 6: Final answer
    x = 244,005.01

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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.