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Finding the Fourth Proportional to 288,179.26, 432,268.89 and 147,848.38

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Solution

The fourth proportional to 288,179.26, 432,268.89 and 147,848.38 is: 221,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,179.26 : 432,268.89 = 147,848.38 : x
  2. Step 2: Convert to fraction form
    288,179.26/432,268.89 = 147,848.38/x
  3. Step 3: Cross multiply
    288,179.26x = 432,268.89 × 147,848.38
  4. Step 4: Simplify right side
    288,179.26x = 63,910,255,110.90
  5. Step 5: Solve for x
    x = 63,910,255,110.90/288,179.26
  6. Step 6: Final answer
    x = 221,772.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.