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Finding the Fourth Proportional to 264,709.65, 365,280.13 and 149,990.57

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Solution

The fourth proportional to 264,709.65, 365,280.13 and 149,990.57 is: 206,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,709.65 : 365,280.13 = 149,990.57 : x
  2. Step 2: Convert to fraction form
    264,709.65/365,280.13 = 149,990.57/x
  3. Step 3: Cross multiply
    264,709.65x = 365,280.13 × 149,990.57
  4. Step 4: Simplify right side
    264,709.65x = 54,788,574,639.26
  5. Step 5: Solve for x
    x = 54,788,574,639.26/264,709.65
  6. Step 6: Final answer
    x = 206,976.11

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Why These Related Problems?

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