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Finding the Fourth Proportional to 241,215.84, 361,726.56 and 72,684

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Solution

The fourth proportional to 241,215.84, 361,726.56 and 72,684 is: 108,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,215.84 : 361,726.56 = 72,684 : x
  2. Step 2: Convert to fraction form
    241,215.84/361,726.56 = 72,684/x
  3. Step 3: Cross multiply
    241,215.84x = 361,726.56 × 72,684
  4. Step 4: Simplify right side
    241,215.84x = 26,291,733,287.04
  5. Step 5: Solve for x
    x = 26,291,733,287.04/241,215.84
  6. Step 6: Final answer
    x = 108,996.71

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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.