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Finding the Fourth Proportional to 102,706.80, 153,916.20 and 81,682.80

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Solution

The fourth proportional to 102,706.80, 153,916.20 and 81,682.80 is: 122,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,706.80 : 153,916.20 = 81,682.80 : x
  2. Step 2: Convert to fraction form
    102,706.80/153,916.20 = 81,682.80/x
  3. Step 3: Cross multiply
    102,706.80x = 153,916.20 × 81,682.80
  4. Step 4: Simplify right side
    102,706.80x = 12,572,306,181.36
  5. Step 5: Solve for x
    x = 12,572,306,181.36/102,706.80
  6. Step 6: Final answer
    x = 122,409.68

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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.