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Finding the Fourth Proportional to 129,828.40, 182,022.20 and 129,828.40

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Solution

The fourth proportional to 129,828.40, 182,022.20 and 129,828.40 is: 182,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,828.40 : 182,022.20 = 129,828.40 : x
  2. Step 2: Convert to fraction form
    129,828.40/182,022.20 = 129,828.40/x
  3. Step 3: Cross multiply
    129,828.40x = 182,022.20 × 129,828.40
  4. Step 4: Simplify right side
    129,828.40x = 23,631,650,990.48
  5. Step 5: Solve for x
    x = 23,631,650,990.48/129,828.40
  6. Step 6: Final answer
    x = 182,022.20

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Why These Related Problems?

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