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Finding the Fourth Proportional to 142,734, 196,972.92 and 86,145.36

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Solution

The fourth proportional to 142,734, 196,972.92 and 86,145.36 is: 118,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,734 : 196,972.92 = 86,145.36 : x
  2. Step 2: Convert to fraction form
    142,734/196,972.92 = 86,145.36/x
  3. Step 3: Cross multiply
    142,734x = 196,972.92 × 86,145.36
  4. Step 4: Simplify right side
    142,734x = 16,968,303,103.65
  5. Step 5: Solve for x
    x = 16,968,303,103.65/142,734
  6. Step 6: Final answer
    x = 118,880.60

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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.