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Finding the Fourth Proportional to 142,095.91, 196,092.38 and 78,433.72

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Solution

The fourth proportional to 142,095.91, 196,092.38 and 78,433.72 is: 108,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,095.91 : 196,092.38 = 78,433.72 : x
  2. Step 2: Convert to fraction form
    142,095.91/196,092.38 = 78,433.72/x
  3. Step 3: Cross multiply
    142,095.91x = 196,092.38 × 78,433.72
  4. Step 4: Simplify right side
    142,095.91x = 15,380,254,434.89
  5. Step 5: Solve for x
    x = 15,380,254,434.89/142,095.91
  6. Step 6: Final answer
    x = 108,238.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.