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Finding the Fourth Proportional to 138,058.30, 207,196.80 and 53,858.80

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Solution

The fourth proportional to 138,058.30, 207,196.80 and 53,858.80 is: 80,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,058.30 : 207,196.80 = 53,858.80 : x
  2. Step 2: Convert to fraction form
    138,058.30/207,196.80 = 53,858.80/x
  3. Step 3: Cross multiply
    138,058.30x = 207,196.80 × 53,858.80
  4. Step 4: Simplify right side
    138,058.30x = 11,159,371,011.84
  5. Step 5: Solve for x
    x = 11,159,371,011.84/138,058.30
  6. Step 6: Final answer
    x = 80,830.86

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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.