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Finding the Fourth Proportional to 209,462.60, 289,052.70 and 113,967.26

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Solution

The fourth proportional to 209,462.60, 289,052.70 and 113,967.26 is: 157,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,462.60 : 289,052.70 = 113,967.26 : x
  2. Step 2: Convert to fraction form
    209,462.60/289,052.70 = 113,967.26/x
  3. Step 3: Cross multiply
    209,462.60x = 289,052.70 × 113,967.26
  4. Step 4: Simplify right side
    209,462.60x = 32,942,544,214.60
  5. Step 5: Solve for x
    x = 32,942,544,214.60/209,462.60
  6. Step 6: Final answer
    x = 157,271.72

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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.