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Finding the Fourth Proportional to 278,534.64, 384,382.44 and 151,210.23

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Solution

The fourth proportional to 278,534.64, 384,382.44 and 151,210.23 is: 208,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,534.64 : 384,382.44 = 151,210.23 : x
  2. Step 2: Convert to fraction form
    278,534.64/384,382.44 = 151,210.23/x
  3. Step 3: Cross multiply
    278,534.64x = 384,382.44 × 151,210.23
  4. Step 4: Simplify right side
    278,534.64x = 58,122,557,160.36
  5. Step 5: Solve for x
    x = 58,122,557,160.36/278,534.64
  6. Step 6: Final answer
    x = 208,672.63

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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.