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Finding the Fourth Proportional to 333,820.82, 500,425.86 and 144,162.56

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Solution

The fourth proportional to 333,820.82, 500,425.86 and 144,162.56 is: 216,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,820.82 : 500,425.86 = 144,162.56 : x
  2. Step 2: Convert to fraction form
    333,820.82/500,425.86 = 144,162.56/x
  3. Step 3: Cross multiply
    333,820.82x = 500,425.86 × 144,162.56
  4. Step 4: Simplify right side
    333,820.82x = 72,142,673,067.80
  5. Step 5: Solve for x
    x = 72,142,673,067.80/333,820.82
  6. Step 6: Final answer
    x = 216,111.96

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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.