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Finding the Fourth Proportional to 205,202.40, 307,544.40 and 99,794.40

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Solution

The fourth proportional to 205,202.40, 307,544.40 and 99,794.40 is: 149,565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,202.40 : 307,544.40 = 99,794.40 : x
  2. Step 2: Convert to fraction form
    205,202.40/307,544.40 = 99,794.40/x
  3. Step 3: Cross multiply
    205,202.40x = 307,544.40 × 99,794.40
  4. Step 4: Simplify right side
    205,202.40x = 30,691,208,871.36
  5. Step 5: Solve for x
    x = 30,691,208,871.36/205,202.40
  6. Step 6: Final answer
    x = 149,565.55

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