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Finding the Fourth Proportional to 241,572, 362,422.26 and 83,800.20

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Solution

The fourth proportional to 241,572, 362,422.26 and 83,800.20 is: 125,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,572 : 362,422.26 = 83,800.20 : x
  2. Step 2: Convert to fraction form
    241,572/362,422.26 = 83,800.20/x
  3. Step 3: Cross multiply
    241,572x = 362,422.26 × 83,800.20
  4. Step 4: Simplify right side
    241,572x = 30,371,057,872.45
  5. Step 5: Solve for x
    x = 30,371,057,872.45/241,572
  6. Step 6: Final answer
    x = 125,722.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.