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Finding the Fourth Proportional to 142,095.66, 196,092.03 and 78,433.48

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Solution

The fourth proportional to 142,095.66, 196,092.03 and 78,433.48 is: 108,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,095.66 : 196,092.03 = 78,433.48 : x
  2. Step 2: Convert to fraction form
    142,095.66/196,092.03 = 78,433.48/x
  3. Step 3: Cross multiply
    142,095.66x = 196,092.03 × 78,433.48
  4. Step 4: Simplify right side
    142,095.66x = 15,380,180,313.16
  5. Step 5: Solve for x
    x = 15,380,180,313.16/142,095.66
  6. Step 6: Final answer
    x = 108,238.21

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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.