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Finding the Fourth Proportional to 142,098.46, 213,069.32 and 57,837

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Solution

The fourth proportional to 142,098.46, 213,069.32 and 57,837 is: 86,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,098.46 : 213,069.32 = 57,837 : x
  2. Step 2: Convert to fraction form
    142,098.46/213,069.32 = 57,837/x
  3. Step 3: Cross multiply
    142,098.46x = 213,069.32 × 57,837
  4. Step 4: Simplify right side
    142,098.46x = 12,323,290,260.84
  5. Step 5: Solve for x
    x = 12,323,290,260.84/142,098.46
  6. Step 6: Final answer
    x = 86,723.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.