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Finding the Fourth Proportional to 102,755.65, 154,136.64 and 27,875.50

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Solution

The fourth proportional to 102,755.65, 154,136.64 and 27,875.50 is: 41,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,755.65 : 154,136.64 = 27,875.50 : x
  2. Step 2: Convert to fraction form
    102,755.65/154,136.64 = 27,875.50/x
  3. Step 3: Cross multiply
    102,755.65x = 154,136.64 × 27,875.50
  4. Step 4: Simplify right side
    102,755.65x = 4,296,635,908.32
  5. Step 5: Solve for x
    x = 4,296,635,908.32/102,755.65
  6. Step 6: Final answer
    x = 41,814.11

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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.