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Finding the Fourth Proportional to 278,053.14, 417,081.82 and 182,071.16

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Solution

The fourth proportional to 278,053.14, 417,081.82 and 182,071.16 is: 273,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,053.14 : 417,081.82 = 182,071.16 : x
  2. Step 2: Convert to fraction form
    278,053.14/417,081.82 = 182,071.16/x
  3. Step 3: Cross multiply
    278,053.14x = 417,081.82 × 182,071.16
  4. Step 4: Simplify right side
    278,053.14x = 75,938,570,782.31
  5. Step 5: Solve for x
    x = 75,938,570,782.31/278,053.14
  6. Step 6: Final answer
    x = 273,108.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.