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Finding the Fourth Proportional to 101,204.22, 151,838.72 and 48,617.40

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Solution

The fourth proportional to 101,204.22, 151,838.72 and 48,617.40 is: 72,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,204.22 : 151,838.72 = 48,617.40 : x
  2. Step 2: Convert to fraction form
    101,204.22/151,838.72 = 48,617.40/x
  3. Step 3: Cross multiply
    101,204.22x = 151,838.72 × 48,617.40
  4. Step 4: Simplify right side
    101,204.22x = 7,382,003,785.73
  5. Step 5: Solve for x
    x = 7,382,003,785.73/101,204.22
  6. Step 6: Final answer
    x = 72,941.66

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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.