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Finding the Fourth Proportional to 335,424.78, 503,137.17 and 86,106.78

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Solution

The fourth proportional to 335,424.78, 503,137.17 and 86,106.78 is: 129,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,424.78 : 503,137.17 = 86,106.78 : x
  2. Step 2: Convert to fraction form
    335,424.78/503,137.17 = 86,106.78/x
  3. Step 3: Cross multiply
    335,424.78x = 503,137.17 × 86,106.78
  4. Step 4: Simplify right side
    335,424.78x = 43,323,521,607.01
  5. Step 5: Solve for x
    x = 43,323,521,607.01/335,424.78
  6. Step 6: Final answer
    x = 129,160.17

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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.