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Finding the Fourth Proportional to 241,718.24, 362,484.12 and 91,879.76

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Solution

The fourth proportional to 241,718.24, 362,484.12 and 91,879.76 is: 137,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,718.24 : 362,484.12 = 91,879.76 : x
  2. Step 2: Convert to fraction form
    241,718.24/362,484.12 = 91,879.76/x
  3. Step 3: Cross multiply
    241,718.24x = 362,484.12 × 91,879.76
  4. Step 4: Simplify right side
    241,718.24x = 33,304,953,949.41
  5. Step 5: Solve for x
    x = 33,304,953,949.41/241,718.24
  6. Step 6: Final answer
    x = 137,784.20

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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.