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Finding the Fourth Proportional to 295,257.56, 442,220.47 and 137,153.30

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Solution

The fourth proportional to 295,257.56, 442,220.47 and 137,153.30 is: 205,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,257.56 : 442,220.47 = 137,153.30 : x
  2. Step 2: Convert to fraction form
    295,257.56/442,220.47 = 137,153.30/x
  3. Step 3: Cross multiply
    295,257.56x = 442,220.47 × 137,153.30
  4. Step 4: Simplify right side
    295,257.56x = 60,651,994,234.07
  5. Step 5: Solve for x
    x = 60,651,994,234.07/295,257.56
  6. Step 6: Final answer
    x = 205,420.63

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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.