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Finding the Fourth Proportional to 172,136.70, 258,203.70 and 101,965.50

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Solution

The fourth proportional to 172,136.70, 258,203.70 and 101,965.50 is: 152,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,136.70 : 258,203.70 = 101,965.50 : x
  2. Step 2: Convert to fraction form
    172,136.70/258,203.70 = 101,965.50/x
  3. Step 3: Cross multiply
    172,136.70x = 258,203.70 × 101,965.50
  4. Step 4: Simplify right side
    172,136.70x = 26,327,869,372.35
  5. Step 5: Solve for x
    x = 26,327,869,372.35/172,136.70
  6. Step 6: Final answer
    x = 152,947.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.