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Finding the Fourth Proportional to 436,253.82, 654,388.92 and 136,727.77

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Solution

The fourth proportional to 436,253.82, 654,388.92 and 136,727.77 is: 205,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,253.82 : 654,388.92 = 136,727.77 : x
  2. Step 2: Convert to fraction form
    436,253.82/654,388.92 = 136,727.77/x
  3. Step 3: Cross multiply
    436,253.82x = 654,388.92 × 136,727.77
  4. Step 4: Simplify right side
    436,253.82x = 89,473,137,744.31
  5. Step 5: Solve for x
    x = 89,473,137,744.31/436,253.82
  6. Step 6: Final answer
    x = 205,094.22

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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.