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Finding the Fourth Proportional to 130,025.80, 182,561 and 130,025.80

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Solution

The fourth proportional to 130,025.80, 182,561 and 130,025.80 is: 182,561

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,025.80 : 182,561 = 130,025.80 : x
  2. Step 2: Convert to fraction form
    130,025.80/182,561 = 130,025.80/x
  3. Step 3: Cross multiply
    130,025.80x = 182,561 × 130,025.80
  4. Step 4: Simplify right side
    130,025.80x = 23,737,640,073.80
  5. Step 5: Solve for x
    x = 23,737,640,073.80/130,025.80
  6. Step 6: Final answer
    x = 182,561

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.