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Finding the Fourth Proportional to 262,294.72, 361,990.56 and 149,117.20

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Solution

The fourth proportional to 262,294.72, 361,990.56 and 149,117.20 is: 205,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,294.72 : 361,990.56 = 149,117.20 : x
  2. Step 2: Convert to fraction form
    262,294.72/361,990.56 = 149,117.20/x
  3. Step 3: Cross multiply
    262,294.72x = 361,990.56 × 149,117.20
  4. Step 4: Simplify right side
    262,294.72x = 53,979,018,733.63
  5. Step 5: Solve for x
    x = 53,979,018,733.63/262,294.72
  6. Step 6: Final answer
    x = 205,795.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.