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Finding the Fourth Proportional to 284,053.82, 426,080.22 and 165,642.11

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Solution

The fourth proportional to 284,053.82, 426,080.22 and 165,642.11 is: 248,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,053.82 : 426,080.22 = 165,642.11 : x
  2. Step 2: Convert to fraction form
    284,053.82/426,080.22 = 165,642.11/x
  3. Step 3: Cross multiply
    284,053.82x = 426,080.22 × 165,642.11
  4. Step 4: Simplify right side
    284,053.82x = 70,576,827,913.01
  5. Step 5: Solve for x
    x = 70,576,827,913.01/284,053.82
  6. Step 6: Final answer
    x = 248,462.87

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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.