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Finding the Fourth Proportional to 209,240.40, 288,748.34 and 113,749.50

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Solution

The fourth proportional to 209,240.40, 288,748.34 and 113,749.50 is: 156,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,240.40 : 288,748.34 = 113,749.50 : x
  2. Step 2: Convert to fraction form
    209,240.40/288,748.34 = 113,749.50/x
  3. Step 3: Cross multiply
    209,240.40x = 288,748.34 × 113,749.50
  4. Step 4: Simplify right side
    209,240.40x = 32,844,979,300.83
  5. Step 5: Solve for x
    x = 32,844,979,300.83/209,240.40
  6. Step 6: Final answer
    x = 156,972.46

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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.