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Finding the Fourth Proportional to 142,297, 196,141.62 and 96,342.04

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Solution

The fourth proportional to 142,297, 196,141.62 and 96,342.04 is: 132,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,297 : 196,141.62 = 96,342.04 : x
  2. Step 2: Convert to fraction form
    142,297/196,141.62 = 96,342.04/x
  3. Step 3: Cross multiply
    142,297x = 196,141.62 × 96,342.04
  4. Step 4: Simplify right side
    142,297x = 18,896,683,799.70
  5. Step 5: Solve for x
    x = 18,896,683,799.70/142,297
  6. Step 6: Final answer
    x = 132,797.49

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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.