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Finding the Fourth Proportional to 278,464.16, 384,280.92 and 151,139.78

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Solution

The fourth proportional to 278,464.16, 384,280.92 and 151,139.78 is: 208,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,464.16 : 384,280.92 = 151,139.78 : x
  2. Step 2: Convert to fraction form
    278,464.16/384,280.92 = 151,139.78/x
  3. Step 3: Cross multiply
    278,464.16x = 384,280.92 × 151,139.78
  4. Step 4: Simplify right side
    278,464.16x = 58,080,133,707.00
  5. Step 5: Solve for x
    x = 58,080,133,707.00/278,464.16
  6. Step 6: Final answer
    x = 208,573.10

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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.