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Finding the Fourth Proportional to 179,805.65, 269,762.13 and 53,450.10

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Solution

The fourth proportional to 179,805.65, 269,762.13 and 53,450.10 is: 80,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,805.65 : 269,762.13 = 53,450.10 : x
  2. Step 2: Convert to fraction form
    179,805.65/269,762.13 = 53,450.10/x
  3. Step 3: Cross multiply
    179,805.65x = 269,762.13 × 53,450.10
  4. Step 4: Simplify right side
    179,805.65x = 14,418,812,557.46
  5. Step 5: Solve for x
    x = 14,418,812,557.46/179,805.65
  6. Step 6: Final answer
    x = 80,191.10

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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.