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Finding the Fourth Proportional to 199,809.48, 299,707.31 and 50,051.06

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Solution

The fourth proportional to 199,809.48, 299,707.31 and 50,051.06 is: 75,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,809.48 : 299,707.31 = 50,051.06 : x
  2. Step 2: Convert to fraction form
    199,809.48/299,707.31 = 50,051.06/x
  3. Step 3: Cross multiply
    199,809.48x = 299,707.31 × 50,051.06
  4. Step 4: Simplify right side
    199,809.48x = 15,000,668,024.20
  5. Step 5: Solve for x
    x = 15,000,668,024.20/199,809.48
  6. Step 6: Final answer
    x = 75,074.86

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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.