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Finding the Fourth Proportional to 241,322.43, 362,035.66 and 72,828.66

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Solution

The fourth proportional to 241,322.43, 362,035.66 and 72,828.66 is: 109,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,322.43 : 362,035.66 = 72,828.66 : x
  2. Step 2: Convert to fraction form
    241,322.43/362,035.66 = 72,828.66/x
  3. Step 3: Cross multiply
    241,322.43x = 362,035.66 × 72,828.66
  4. Step 4: Simplify right side
    241,322.43x = 26,366,571,990.02
  5. Step 5: Solve for x
    x = 26,366,571,990.02/241,322.43
  6. Step 6: Final answer
    x = 109,258.69

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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.