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Finding the Fourth Proportional to 295,270.35, 442,239.57 and 137,166.09

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Solution

The fourth proportional to 295,270.35, 442,239.57 and 137,166.09 is: 205,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,270.35 : 442,239.57 = 137,166.09 : x
  2. Step 2: Convert to fraction form
    295,270.35/442,239.57 = 137,166.09/x
  3. Step 3: Cross multiply
    295,270.35x = 442,239.57 × 137,166.09
  4. Step 4: Simplify right side
    295,270.35x = 60,660,272,660.18
  5. Step 5: Solve for x
    x = 60,660,272,660.18/295,270.35
  6. Step 6: Final answer
    x = 205,439.77

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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.