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Finding the Fourth Proportional to 162,808.97, 224,786.09 and 101,648.37

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Solution

The fourth proportional to 162,808.97, 224,786.09 and 101,648.37 is: 140,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,808.97 : 224,786.09 = 101,648.37 : x
  2. Step 2: Convert to fraction form
    162,808.97/224,786.09 = 101,648.37/x
  3. Step 3: Cross multiply
    162,808.97x = 224,786.09 × 101,648.37
  4. Step 4: Simplify right side
    162,808.97x = 22,849,139,647.17
  5. Step 5: Solve for x
    x = 22,849,139,647.17/162,808.97
  6. Step 6: Final answer
    x = 140,343.25

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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.