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Finding the Fourth Proportional to 219,416.86, 329,136.57 and 61,657.62

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Solution

The fourth proportional to 219,416.86, 329,136.57 and 61,657.62 is: 92,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,416.86 : 329,136.57 = 61,657.62 : x
  2. Step 2: Convert to fraction form
    219,416.86/329,136.57 = 61,657.62/x
  3. Step 3: Cross multiply
    219,416.86x = 329,136.57 × 61,657.62
  4. Step 4: Simplify right side
    219,416.86x = 20,293,777,561.16
  5. Step 5: Solve for x
    x = 20,293,777,561.16/219,416.86
  6. Step 6: Final answer
    x = 92,489.60

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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.