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Finding the Fourth Proportional to 509,091.52, 763,647 and 154,104.16

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Solution

The fourth proportional to 509,091.52, 763,647 and 154,104.16 is: 231,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,091.52 : 763,647 = 154,104.16 : x
  2. Step 2: Convert to fraction form
    509,091.52/763,647 = 154,104.16/x
  3. Step 3: Cross multiply
    509,091.52x = 763,647 × 154,104.16
  4. Step 4: Simplify right side
    509,091.52x = 117,681,179,471.52
  5. Step 5: Solve for x
    x = 117,681,179,471.52/509,091.52
  6. Step 6: Final answer
    x = 231,159.18

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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.