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Finding the Fourth Proportional to 142,958, 197,282.20 and 83,353.52

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Solution

The fourth proportional to 142,958, 197,282.20 and 83,353.52 is: 115,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,958 : 197,282.20 = 83,353.52 : x
  2. Step 2: Convert to fraction form
    142,958/197,282.20 = 83,353.52/x
  3. Step 3: Cross multiply
    142,958x = 197,282.20 × 83,353.52
  4. Step 4: Simplify right side
    142,958x = 16,444,165,803.34
  5. Step 5: Solve for x
    x = 16,444,165,803.34/142,958
  6. Step 6: Final answer
    x = 115,027.95

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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.