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Finding the Fourth Proportional to 137,322.54, 205,817.47 and 58,270.70

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Solution

The fourth proportional to 137,322.54, 205,817.47 and 58,270.70 is: 87,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,322.54 : 205,817.47 = 58,270.70 : x
  2. Step 2: Convert to fraction form
    137,322.54/205,817.47 = 58,270.70/x
  3. Step 3: Cross multiply
    137,322.54x = 205,817.47 × 58,270.70
  4. Step 4: Simplify right side
    137,322.54x = 11,993,128,418.00
  5. Step 5: Solve for x
    x = 11,993,128,418.00/137,322.54
  6. Step 6: Final answer
    x = 87,335.47

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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.