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Finding the Fourth Proportional to 223,166.52, 307,972.20 and 122,564.52

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Solution

The fourth proportional to 223,166.52, 307,972.20 and 122,564.52 is: 169,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,166.52 : 307,972.20 = 122,564.52 : x
  2. Step 2: Convert to fraction form
    223,166.52/307,972.20 = 122,564.52/x
  3. Step 3: Cross multiply
    223,166.52x = 307,972.20 × 122,564.52
  4. Step 4: Simplify right side
    223,166.52x = 37,746,464,866.34
  5. Step 5: Solve for x
    x = 37,746,464,866.34/223,166.52
  6. Step 6: Final answer
    x = 169,140.36

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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.