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Finding the Fourth Proportional to 209,114.70, 313,672.05 and 51,341.10

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Solution

The fourth proportional to 209,114.70, 313,672.05 and 51,341.10 is: 77,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,114.70 : 313,672.05 = 51,341.10 : x
  2. Step 2: Convert to fraction form
    209,114.70/313,672.05 = 51,341.10/x
  3. Step 3: Cross multiply
    209,114.70x = 313,672.05 × 51,341.10
  4. Step 4: Simplify right side
    209,114.70x = 16,104,268,086.26
  5. Step 5: Solve for x
    x = 16,104,268,086.26/209,114.70
  6. Step 6: Final answer
    x = 77,011.65

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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.