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Finding the Fourth Proportional to 333,778.83, 500,699.03 and 109,140.42

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Solution

The fourth proportional to 333,778.83, 500,699.03 and 109,140.42 is: 163,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,778.83 : 500,699.03 = 109,140.42 : x
  2. Step 2: Convert to fraction form
    333,778.83/500,699.03 = 109,140.42/x
  3. Step 3: Cross multiply
    333,778.83x = 500,699.03 × 109,140.42
  4. Step 4: Simplify right side
    333,778.83x = 54,646,501,882.09
  5. Step 5: Solve for x
    x = 54,646,501,882.09/333,778.83
  6. Step 6: Final answer
    x = 163,720.69

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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.