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Finding the Fourth Proportional to 142,697.67, 197,055.16 and 106,825.41

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Solution

The fourth proportional to 142,697.67, 197,055.16 and 106,825.41 is: 147,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,697.67 : 197,055.16 = 106,825.41 : x
  2. Step 2: Convert to fraction form
    142,697.67/197,055.16 = 106,825.41/x
  3. Step 3: Cross multiply
    142,697.67x = 197,055.16 × 106,825.41
  4. Step 4: Simplify right side
    142,697.67x = 21,050,498,259.62
  5. Step 5: Solve for x
    x = 21,050,498,259.62/142,697.67
  6. Step 6: Final answer
    x = 147,518.16

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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.