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Finding the Fourth Proportional to 209,504.55, 289,115.74 and 114,011.22

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Solution

The fourth proportional to 209,504.55, 289,115.74 and 114,011.22 is: 157,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,504.55 : 289,115.74 = 114,011.22 : x
  2. Step 2: Convert to fraction form
    209,504.55/289,115.74 = 114,011.22/x
  3. Step 3: Cross multiply
    209,504.55x = 289,115.74 × 114,011.22
  4. Step 4: Simplify right side
    209,504.55x = 32,962,438,238.60
  5. Step 5: Solve for x
    x = 32,962,438,238.60/209,504.55
  6. Step 6: Final answer
    x = 157,335.19

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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.