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Finding the Fourth Proportional to 209,411.80, 313,349.70 and 154,115.80

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Solution

The fourth proportional to 209,411.80, 313,349.70 and 154,115.80 is: 230,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,411.80 : 313,349.70 = 154,115.80 : x
  2. Step 2: Convert to fraction form
    209,411.80/313,349.70 = 154,115.80/x
  3. Step 3: Cross multiply
    209,411.80x = 313,349.70 × 154,115.80
  4. Step 4: Simplify right side
    209,411.80x = 48,292,139,695.26
  5. Step 5: Solve for x
    x = 48,292,139,695.26/209,411.80
  6. Step 6: Final answer
    x = 230,608.49

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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.