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Finding the Fourth Proportional to 102,136.52, 153,071.66 and 52,174.50

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Solution

The fourth proportional to 102,136.52, 153,071.66 and 52,174.50 is: 78,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136.52 : 153,071.66 = 52,174.50 : x
  2. Step 2: Convert to fraction form
    102,136.52/153,071.66 = 52,174.50/x
  3. Step 3: Cross multiply
    102,136.52x = 153,071.66 × 52,174.50
  4. Step 4: Simplify right side
    102,136.52x = 7,986,437,063.80
  5. Step 5: Solve for x
    x = 7,986,437,063.80/102,136.52
  6. Step 6: Final answer
    x = 78,193.75

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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.