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Finding the Fourth Proportional to 142,066.93, 196,051.46 and 78,404.73

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Solution

The fourth proportional to 142,066.93, 196,051.46 and 78,404.73 is: 108,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,066.93 : 196,051.46 = 78,404.73 : x
  2. Step 2: Convert to fraction form
    142,066.93/196,051.46 = 78,404.73/x
  3. Step 3: Cross multiply
    142,066.93x = 196,051.46 × 78,404.73
  4. Step 4: Simplify right side
    142,066.93x = 15,371,361,395.38
  5. Step 5: Solve for x
    x = 15,371,361,395.38/142,066.93
  6. Step 6: Final answer
    x = 108,198.03

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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.