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Finding the Fourth Proportional to 151,433.80, 226,713.30 and 147,059.80

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Solution

The fourth proportional to 151,433.80, 226,713.30 and 147,059.80 is: 220,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,433.80 : 226,713.30 = 147,059.80 : x
  2. Step 2: Convert to fraction form
    151,433.80/226,713.30 = 147,059.80/x
  3. Step 3: Cross multiply
    151,433.80x = 226,713.30 × 147,059.80
  4. Step 4: Simplify right side
    151,433.80x = 33,340,412,555.34
  5. Step 5: Solve for x
    x = 33,340,412,555.34/151,433.80
  6. Step 6: Final answer
    x = 220,164.93

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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.