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Finding the Fourth Proportional to 137,141.72, 205,638.61 and 62,220.98

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Solution

The fourth proportional to 137,141.72, 205,638.61 and 62,220.98 is: 93,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,141.72 : 205,638.61 = 62,220.98 : x
  2. Step 2: Convert to fraction form
    137,141.72/205,638.61 = 62,220.98/x
  3. Step 3: Cross multiply
    137,141.72x = 205,638.61 × 62,220.98
  4. Step 4: Simplify right side
    137,141.72x = 12,795,035,840.04
  5. Step 5: Solve for x
    x = 12,795,035,840.04/137,141.72
  6. Step 6: Final answer
    x = 93,297.91

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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.