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Finding the Fourth Proportional to 209,607.60, 314,213.76 and 104,327.04

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Solution

The fourth proportional to 209,607.60, 314,213.76 and 104,327.04 is: 156,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,607.60 : 314,213.76 = 104,327.04 : x
  2. Step 2: Convert to fraction form
    209,607.60/314,213.76 = 104,327.04/x
  3. Step 3: Cross multiply
    209,607.60x = 314,213.76 × 104,327.04
  4. Step 4: Simplify right side
    209,607.60x = 32,780,991,508.07
  5. Step 5: Solve for x
    x = 32,780,991,508.07/209,607.60
  6. Step 6: Final answer
    x = 156,392.19

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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.