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Finding the Fourth Proportional to 142,117.22, 196,122.39 and 78,455.54

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Solution

The fourth proportional to 142,117.22, 196,122.39 and 78,455.54 is: 108,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,117.22 : 196,122.39 = 78,455.54 : x
  2. Step 2: Convert to fraction form
    142,117.22/196,122.39 = 78,455.54/x
  3. Step 3: Cross multiply
    142,117.22x = 196,122.39 × 78,455.54
  4. Step 4: Simplify right side
    142,117.22x = 15,386,888,013.54
  5. Step 5: Solve for x
    x = 15,386,888,013.54/142,117.22
  6. Step 6: Final answer
    x = 108,268.99

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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.