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Finding the Fourth Proportional to 140,539.44, 210,828.60 and 57,414

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Solution

The fourth proportional to 140,539.44, 210,828.60 and 57,414 is: 86,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,539.44 : 210,828.60 = 57,414 : x
  2. Step 2: Convert to fraction form
    140,539.44/210,828.60 = 57,414/x
  3. Step 3: Cross multiply
    140,539.44x = 210,828.60 × 57,414
  4. Step 4: Simplify right side
    140,539.44x = 12,104,513,240.40
  5. Step 5: Solve for x
    x = 12,104,513,240.40/140,539.44
  6. Step 6: Final answer
    x = 86,128.94

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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.