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Finding the Fourth Proportional to 291,122.82, 401,748.72 and 163,798.56

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Solution

The fourth proportional to 291,122.82, 401,748.72 and 163,798.56 is: 226,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,122.82 : 401,748.72 = 163,798.56 : x
  2. Step 2: Convert to fraction form
    291,122.82/401,748.72 = 163,798.56/x
  3. Step 3: Cross multiply
    291,122.82x = 401,748.72 × 163,798.56
  4. Step 4: Simplify right side
    291,122.82x = 65,805,861,817.84
  5. Step 5: Solve for x
    x = 65,805,861,817.84/291,122.82
  6. Step 6: Final answer
    x = 226,041.58

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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.