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Finding the Fourth Proportional to 204,955.60, 307,145.40 and 162,907.60

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Solution

The fourth proportional to 204,955.60, 307,145.40 and 162,907.60 is: 244,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,955.60 : 307,145.40 = 162,907.60 : x
  2. Step 2: Convert to fraction form
    204,955.60/307,145.40 = 162,907.60/x
  3. Step 3: Cross multiply
    204,955.60x = 307,145.40 × 162,907.60
  4. Step 4: Simplify right side
    204,955.60x = 50,036,319,965.04
  5. Step 5: Solve for x
    x = 50,036,319,965.04/204,955.60
  6. Step 6: Final answer
    x = 244,132.49

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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.