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Finding the Fourth Proportional to 142,525.16, 196,682.98 and 77,993.71

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Solution

The fourth proportional to 142,525.16, 196,682.98 and 77,993.71 is: 107,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,525.16 : 196,682.98 = 77,993.71 : x
  2. Step 2: Convert to fraction form
    142,525.16/196,682.98 = 77,993.71/x
  3. Step 3: Cross multiply
    142,525.16x = 196,682.98 × 77,993.71
  4. Step 4: Simplify right side
    142,525.16x = 15,340,035,304.06
  5. Step 5: Solve for x
    x = 15,340,035,304.06/142,525.16
  6. Step 6: Final answer
    x = 107,630.37

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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.