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Finding the Fourth Proportional to 278,355.02, 384,132.38 and 151,033.14

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Solution

The fourth proportional to 278,355.02, 384,132.38 and 151,033.14 is: 208,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,355.02 : 384,132.38 = 151,033.14 : x
  2. Step 2: Convert to fraction form
    278,355.02/384,132.38 = 151,033.14/x
  3. Step 3: Cross multiply
    278,355.02x = 384,132.38 × 151,033.14
  4. Step 4: Simplify right side
    278,355.02x = 58,016,718,771.91
  5. Step 5: Solve for x
    x = 58,016,718,771.91/278,355.02
  6. Step 6: Final answer
    x = 208,427.06

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Why These Related Problems?

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