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Finding the Fourth Proportional to 164,537.47, 246,806.21 and 39,878.47

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Solution

The fourth proportional to 164,537.47, 246,806.21 and 39,878.47 is: 59,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,537.47 : 246,806.21 = 39,878.47 : x
  2. Step 2: Convert to fraction form
    164,537.47/246,806.21 = 39,878.47/x
  3. Step 3: Cross multiply
    164,537.47x = 246,806.21 × 39,878.47
  4. Step 4: Simplify right side
    164,537.47x = 9,842,253,841.91
  5. Step 5: Solve for x
    x = 9,842,253,841.91/164,537.47
  6. Step 6: Final answer
    x = 59,817.71

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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.