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Finding the Fourth Proportional to 241,041.56, 361,416.50 and 107,897

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Solution

The fourth proportional to 241,041.56, 361,416.50 and 107,897 is: 161,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,041.56 : 361,416.50 = 107,897 : x
  2. Step 2: Convert to fraction form
    241,041.56/361,416.50 = 107,897/x
  3. Step 3: Cross multiply
    241,041.56x = 361,416.50 × 107,897
  4. Step 4: Simplify right side
    241,041.56x = 38,995,755,561.02
  5. Step 5: Solve for x
    x = 38,995,755,561.02/241,041.56
  6. Step 6: Final answer
    x = 161,780.22

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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.