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Finding the Fourth Proportional to 209,697.46, 289,390.69 and 119,061.87

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Solution

The fourth proportional to 209,697.46, 289,390.69 and 119,061.87 is: 164,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,697.46 : 289,390.69 = 119,061.87 : x
  2. Step 2: Convert to fraction form
    209,697.46/289,390.69 = 119,061.87/x
  3. Step 3: Cross multiply
    209,697.46x = 289,390.69 × 119,061.87
  4. Step 4: Simplify right side
    209,697.46x = 34,455,397,403.43
  5. Step 5: Solve for x
    x = 34,455,397,403.43/209,697.46
  6. Step 6: Final answer
    x = 164,310.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.