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Finding the Fourth Proportional to 291,299.88, 401,989.38 and 163,975.08

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Solution

The fourth proportional to 291,299.88, 401,989.38 and 163,975.08 is: 226,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,299.88 : 401,989.38 = 163,975.08 : x
  2. Step 2: Convert to fraction form
    291,299.88/401,989.38 = 163,975.08/x
  3. Step 3: Cross multiply
    291,299.88x = 401,989.38 × 163,975.08
  4. Step 4: Simplify right side
    291,299.88x = 65,916,240,744.65
  5. Step 5: Solve for x
    x = 65,916,240,744.65/291,299.88
  6. Step 6: Final answer
    x = 226,283.10

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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.