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Finding the Fourth Proportional to 209,686.80, 313,009.94 and 194,077.11

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Solution

The fourth proportional to 209,686.80, 313,009.94 and 194,077.11 is: 289,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,686.80 : 313,009.94 = 194,077.11 : x
  2. Step 2: Convert to fraction form
    209,686.80/313,009.94 = 194,077.11/x
  3. Step 3: Cross multiply
    209,686.80x = 313,009.94 × 194,077.11
  4. Step 4: Simplify right side
    209,686.80x = 60,748,063,586.09
  5. Step 5: Solve for x
    x = 60,748,063,586.09/209,686.80
  6. Step 6: Final answer
    x = 289,708.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.