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Finding the Fourth Proportional to 241,853.80, 362,838.30 and 101,540.20

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Solution

The fourth proportional to 241,853.80, 362,838.30 and 101,540.20 is: 152,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,853.80 : 362,838.30 = 101,540.20 : x
  2. Step 2: Convert to fraction form
    241,853.80/362,838.30 = 101,540.20/x
  3. Step 3: Cross multiply
    241,853.80x = 362,838.30 × 101,540.20
  4. Step 4: Simplify right side
    241,853.80x = 36,842,673,549.66
  5. Step 5: Solve for x
    x = 36,842,673,549.66/241,853.80
  6. Step 6: Final answer
    x = 152,334.48

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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.