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Finding the Fourth Proportional to 237,581, 327,852.18 and 142,140.20

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Solution

The fourth proportional to 237,581, 327,852.18 and 142,140.20 is: 196,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,581 : 327,852.18 = 142,140.20 : x
  2. Step 2: Convert to fraction form
    237,581/327,852.18 = 142,140.20/x
  3. Step 3: Cross multiply
    237,581x = 327,852.18 × 142,140.20
  4. Step 4: Simplify right side
    237,581x = 46,600,974,435.64
  5. Step 5: Solve for x
    x = 46,600,974,435.64/237,581
  6. Step 6: Final answer
    x = 196,147.73

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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.