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Finding the Fourth Proportional to 163,577.82, 225,849.15 and 120,562.50

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Solution

The fourth proportional to 163,577.82, 225,849.15 and 120,562.50 is: 166,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,577.82 : 225,849.15 = 120,562.50 : x
  2. Step 2: Convert to fraction form
    163,577.82/225,849.15 = 120,562.50/x
  3. Step 3: Cross multiply
    163,577.82x = 225,849.15 × 120,562.50
  4. Step 4: Simplify right side
    163,577.82x = 27,228,938,146.88
  5. Step 5: Solve for x
    x = 27,228,938,146.88/163,577.82
  6. Step 6: Final answer
    x = 166,458.62

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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.