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Finding the Fourth Proportional to 241,405.70, 362,194.95 and 101,207.30

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Solution

The fourth proportional to 241,405.70, 362,194.95 and 101,207.30 is: 151,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,405.70 : 362,194.95 = 101,207.30 : x
  2. Step 2: Convert to fraction form
    241,405.70/362,194.95 = 101,207.30/x
  3. Step 3: Cross multiply
    241,405.70x = 362,194.95 × 101,207.30
  4. Step 4: Simplify right side
    241,405.70x = 36,656,772,963.14
  5. Step 5: Solve for x
    x = 36,656,772,963.14/241,405.70
  6. Step 6: Final answer
    x = 151,847.17

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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.