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Finding the Fourth Proportional to 241,405.40, 362,151.30 and 101,178.20

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Solution

The fourth proportional to 241,405.40, 362,151.30 and 101,178.20 is: 151,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,405.40 : 362,151.30 = 101,178.20 : x
  2. Step 2: Convert to fraction form
    241,405.40/362,151.30 = 101,178.20/x
  3. Step 3: Cross multiply
    241,405.40x = 362,151.30 × 101,178.20
  4. Step 4: Simplify right side
    241,405.40x = 36,641,816,661.66
  5. Step 5: Solve for x
    x = 36,641,816,661.66/241,405.40
  6. Step 6: Final answer
    x = 151,785.41

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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.