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Finding the Fourth Proportional to 333,838.72, 500,788.92 and 109,200.43

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Solution

The fourth proportional to 333,838.72, 500,788.92 and 109,200.43 is: 163,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,838.72 : 500,788.92 = 109,200.43 : x
  2. Step 2: Convert to fraction form
    333,838.72/500,788.92 = 109,200.43/x
  3. Step 3: Cross multiply
    333,838.72x = 500,788.92 × 109,200.43
  4. Step 4: Simplify right side
    333,838.72x = 54,686,365,403.24
  5. Step 5: Solve for x
    x = 54,686,365,403.24/333,838.72
  6. Step 6: Final answer
    x = 163,810.73

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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.