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Finding the Fourth Proportional to 278,593.68, 384,448.50 and 151,266.36

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Solution

The fourth proportional to 278,593.68, 384,448.50 and 151,266.36 is: 208,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,593.68 : 384,448.50 = 151,266.36 : x
  2. Step 2: Convert to fraction form
    278,593.68/384,448.50 = 151,266.36/x
  3. Step 3: Cross multiply
    278,593.68x = 384,448.50 × 151,266.36
  4. Step 4: Simplify right side
    278,593.68x = 58,154,125,202.46
  5. Step 5: Solve for x
    x = 58,154,125,202.46/278,593.68
  6. Step 6: Final answer
    x = 208,741.72

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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.