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Finding the Fourth Proportional to 145,009.28, 200,122 and 81,351.20

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Solution

The fourth proportional to 145,009.28, 200,122 and 81,351.20 is: 112,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,009.28 : 200,122 = 81,351.20 : x
  2. Step 2: Convert to fraction form
    145,009.28/200,122 = 81,351.20/x
  3. Step 3: Cross multiply
    145,009.28x = 200,122 × 81,351.20
  4. Step 4: Simplify right side
    145,009.28x = 16,280,164,846.40
  5. Step 5: Solve for x
    x = 16,280,164,846.40/145,009.28
  6. Step 6: Final answer
    x = 112,269.81

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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.