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Finding the Fourth Proportional to 142,510.68, 196,632.90 and 85,134.60

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Solution

The fourth proportional to 142,510.68, 196,632.90 and 85,134.60 is: 117,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,510.68 : 196,632.90 = 85,134.60 : x
  2. Step 2: Convert to fraction form
    142,510.68/196,632.90 = 85,134.60/x
  3. Step 3: Cross multiply
    142,510.68x = 196,632.90 × 85,134.60
  4. Step 4: Simplify right side
    142,510.68x = 16,740,263,288.34
  5. Step 5: Solve for x
    x = 16,740,263,288.34/142,510.68
  6. Step 6: Final answer
    x = 117,466.73

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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.