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Finding the Fourth Proportional to 291,891.98, 402,795.28 and 164,559.36

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Solution

The fourth proportional to 291,891.98, 402,795.28 and 164,559.36 is: 227,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,891.98 : 402,795.28 = 164,559.36 : x
  2. Step 2: Convert to fraction form
    291,891.98/402,795.28 = 164,559.36/x
  3. Step 3: Cross multiply
    291,891.98x = 402,795.28 × 164,559.36
  4. Step 4: Simplify right side
    291,891.98x = 66,283,733,487.82
  5. Step 5: Solve for x
    x = 66,283,733,487.82/291,891.98
  6. Step 6: Final answer
    x = 227,083.09

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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.