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Finding the Fourth Proportional to 102,136.29, 140,946.06 and 56,813.31

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Solution

The fourth proportional to 102,136.29, 140,946.06 and 56,813.31 is: 78,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136.29 : 140,946.06 = 56,813.31 : x
  2. Step 2: Convert to fraction form
    102,136.29/140,946.06 = 56,813.31/x
  3. Step 3: Cross multiply
    102,136.29x = 140,946.06 × 56,813.31
  4. Step 4: Simplify right side
    102,136.29x = 8,007,612,200.06
  5. Step 5: Solve for x
    x = 8,007,612,200.06/102,136.29
  6. Step 6: Final answer
    x = 78,401.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.