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Finding the Fourth Proportional to 189,486.20, 284,062 and 77,260.28

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Solution

The fourth proportional to 189,486.20, 284,062 and 77,260.28 is: 115,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,486.20 : 284,062 = 77,260.28 : x
  2. Step 2: Convert to fraction form
    189,486.20/284,062 = 77,260.28/x
  3. Step 3: Cross multiply
    189,486.20x = 284,062 × 77,260.28
  4. Step 4: Simplify right side
    189,486.20x = 21,946,709,657.36
  5. Step 5: Solve for x
    x = 21,946,709,657.36/189,486.20
  6. Step 6: Final answer
    x = 115,822.21

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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.