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Finding the Fourth Proportional to 163,202.64, 225,161.91 and 106,646.82

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Solution

The fourth proportional to 163,202.64, 225,161.91 and 106,646.82 is: 147,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,202.64 : 225,161.91 = 106,646.82 : x
  2. Step 2: Convert to fraction form
    163,202.64/225,161.91 = 106,646.82/x
  3. Step 3: Cross multiply
    163,202.64x = 225,161.91 × 106,646.82
  4. Step 4: Simplify right side
    163,202.64x = 24,012,801,686.63
  5. Step 5: Solve for x
    x = 24,012,801,686.63/163,202.64
  6. Step 6: Final answer
    x = 147,134.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.