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Finding the Fourth Proportional to 333,920.45, 500,875.31 and 106,212.75

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Solution

The fourth proportional to 333,920.45, 500,875.31 and 106,212.75 is: 159,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,920.45 : 500,875.31 = 106,212.75 : x
  2. Step 2: Convert to fraction form
    333,920.45/500,875.31 = 106,212.75/x
  3. Step 3: Cross multiply
    333,920.45x = 500,875.31 × 106,212.75
  4. Step 4: Simplify right side
    333,920.45x = 53,199,343,551.14
  5. Step 5: Solve for x
    x = 53,199,343,551.14/333,920.45
  6. Step 6: Final answer
    x = 159,317.42

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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.