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Finding the Fourth Proportional to 209,055.87, 288,499.86 and 113,564.16

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Solution

The fourth proportional to 209,055.87, 288,499.86 and 113,564.16 is: 156,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,055.87 : 288,499.86 = 113,564.16 : x
  2. Step 2: Convert to fraction form
    209,055.87/288,499.86 = 113,564.16/x
  3. Step 3: Cross multiply
    209,055.87x = 288,499.86 × 113,564.16
  4. Step 4: Simplify right side
    209,055.87x = 32,763,244,261.02
  5. Step 5: Solve for x
    x = 32,763,244,261.02/209,055.87
  6. Step 6: Final answer
    x = 156,720.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.