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Finding the Fourth Proportional to 145,493.49, 218,249.46 and 45,657.63

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Solution

The fourth proportional to 145,493.49, 218,249.46 and 45,657.63 is: 68,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,493.49 : 218,249.46 = 45,657.63 : x
  2. Step 2: Convert to fraction form
    145,493.49/218,249.46 = 45,657.63/x
  3. Step 3: Cross multiply
    145,493.49x = 218,249.46 × 45,657.63
  4. Step 4: Simplify right side
    145,493.49x = 9,964,752,001.13
  5. Step 5: Solve for x
    x = 9,964,752,001.13/145,493.49
  6. Step 6: Final answer
    x = 68,489.33

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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.