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Finding the Fourth Proportional to 209,608.10, 314,214.51 and 104,327.54

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Solution

The fourth proportional to 209,608.10, 314,214.51 and 104,327.54 is: 156,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,608.10 : 314,214.51 = 104,327.54 : x
  2. Step 2: Convert to fraction form
    209,608.10/314,214.51 = 104,327.54/x
  3. Step 3: Cross multiply
    209,608.10x = 314,214.51 × 104,327.54
  4. Step 4: Simplify right side
    209,608.10x = 32,781,226,860.61
  5. Step 5: Solve for x
    x = 32,781,226,860.61/209,608.10
  6. Step 6: Final answer
    x = 156,392.94

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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.