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Finding the Fourth Proportional to 141,431.52, 195,178.44 and 77,769.16

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Solution

The fourth proportional to 141,431.52, 195,178.44 and 77,769.16 is: 107,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,431.52 : 195,178.44 = 77,769.16 : x
  2. Step 2: Convert to fraction form
    141,431.52/195,178.44 = 77,769.16/x
  3. Step 3: Cross multiply
    141,431.52x = 195,178.44 × 77,769.16
  4. Step 4: Simplify right side
    141,431.52x = 15,178,863,574.30
  5. Step 5: Solve for x
    x = 15,178,863,574.30/141,431.52
  6. Step 6: Final answer
    x = 107,323.06

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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.