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Finding the Fourth Proportional to 534,054.14, 800,979.22 and 160,077.14

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Solution

The fourth proportional to 534,054.14, 800,979.22 and 160,077.14 is: 240,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,054.14 : 800,979.22 = 160,077.14 : x
  2. Step 2: Convert to fraction form
    534,054.14/800,979.22 = 160,077.14/x
  3. Step 3: Cross multiply
    534,054.14x = 800,979.22 × 160,077.14
  4. Step 4: Simplify right side
    534,054.14x = 128,218,462,737.03
  5. Step 5: Solve for x
    x = 128,218,462,737.03/534,054.14
  6. Step 6: Final answer
    x = 240,085.14

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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.