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Finding the Fourth Proportional to 161,854.70, 223,388.33 and 101,477.09

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Solution

The fourth proportional to 161,854.70, 223,388.33 and 101,477.09 is: 140,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,854.70 : 223,388.33 = 101,477.09 : x
  2. Step 2: Convert to fraction form
    161,854.70/223,388.33 = 101,477.09/x
  3. Step 3: Cross multiply
    161,854.70x = 223,388.33 × 101,477.09
  4. Step 4: Simplify right side
    161,854.70x = 22,668,796,044.03
  5. Step 5: Solve for x
    x = 22,668,796,044.03/161,854.70
  6. Step 6: Final answer
    x = 140,056.46

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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.