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Finding the Fourth Proportional to 279,772.50, 386,086.53 and 152,448.09

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Solution

The fourth proportional to 279,772.50, 386,086.53 and 152,448.09 is: 210,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,772.50 : 386,086.53 = 152,448.09 : x
  2. Step 2: Convert to fraction form
    279,772.50/386,086.53 = 152,448.09/x
  3. Step 3: Cross multiply
    279,772.50x = 386,086.53 × 152,448.09
  4. Step 4: Simplify right side
    279,772.50x = 58,858,154,073.23
  5. Step 5: Solve for x
    x = 58,858,154,073.23/279,772.50
  6. Step 6: Final answer
    x = 210,378.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.