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Finding the Fourth Proportional to 253,175.98, 349,065.30 and 162,371.74

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Solution

The fourth proportional to 253,175.98, 349,065.30 and 162,371.74 is: 223,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,175.98 : 349,065.30 = 162,371.74 : x
  2. Step 2: Convert to fraction form
    253,175.98/349,065.30 = 162,371.74/x
  3. Step 3: Cross multiply
    253,175.98x = 349,065.30 × 162,371.74
  4. Step 4: Simplify right side
    253,175.98x = 56,678,340,134.62
  5. Step 5: Solve for x
    x = 56,678,340,134.62/253,175.98
  6. Step 6: Final answer
    x = 223,869.34

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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.