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Finding the Fourth Proportional to 241,439.82, 362,038.23 and 83,625.90

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Solution

The fourth proportional to 241,439.82, 362,038.23 and 83,625.90 is: 125,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,439.82 : 362,038.23 = 83,625.90 : x
  2. Step 2: Convert to fraction form
    241,439.82/362,038.23 = 83,625.90/x
  3. Step 3: Cross multiply
    241,439.82x = 362,038.23 × 83,625.90
  4. Step 4: Simplify right side
    241,439.82x = 30,275,772,818.16
  5. Step 5: Solve for x
    x = 30,275,772,818.16/241,439.82
  6. Step 6: Final answer
    x = 125,396.77

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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.