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Finding the Fourth Proportional to 209,604.60, 314,209.26 and 104,324.04

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Solution

The fourth proportional to 209,604.60, 314,209.26 and 104,324.04 is: 156,387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,604.60 : 314,209.26 = 104,324.04 : x
  2. Step 2: Convert to fraction form
    209,604.60/314,209.26 = 104,324.04/x
  3. Step 3: Cross multiply
    209,604.60x = 314,209.26 × 104,324.04
  4. Step 4: Simplify right side
    209,604.60x = 32,779,579,408.61
  5. Step 5: Solve for x
    x = 32,779,579,408.61/209,604.60
  6. Step 6: Final answer
    x = 156,387.69

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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.