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Finding the Fourth Proportional to 200,039.34, 300,059.37 and 81,710.70

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Solution

The fourth proportional to 200,039.34, 300,059.37 and 81,710.70 is: 122,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,039.34 : 300,059.37 = 81,710.70 : x
  2. Step 2: Convert to fraction form
    200,039.34/300,059.37 = 81,710.70/x
  3. Step 3: Cross multiply
    200,039.34x = 300,059.37 × 81,710.70
  4. Step 4: Simplify right side
    200,039.34x = 24,518,061,164.26
  5. Step 5: Solve for x
    x = 24,518,061,164.26/200,039.34
  6. Step 6: Final answer
    x = 122,566.20

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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.