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Finding the Fourth Proportional to 241,053.23, 361,565.48 and 107,897.74

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Solution

The fourth proportional to 241,053.23, 361,565.48 and 107,897.74 is: 161,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,053.23 : 361,565.48 = 107,897.74 : x
  2. Step 2: Convert to fraction form
    241,053.23/361,565.48 = 107,897.74/x
  3. Step 3: Cross multiply
    241,053.23x = 361,565.48 × 107,897.74
  4. Step 4: Simplify right side
    241,053.23x = 39,012,097,519.85
  5. Step 5: Solve for x
    x = 39,012,097,519.85/241,053.23
  6. Step 6: Final answer
    x = 161,840.18

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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.