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Finding the Fourth Proportional to 288,050.20, 431,945.70 and 110,498.20

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Solution

The fourth proportional to 288,050.20, 431,945.70 and 110,498.20 is: 165,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,050.20 : 431,945.70 = 110,498.20 : x
  2. Step 2: Convert to fraction form
    288,050.20/431,945.70 = 110,498.20/x
  3. Step 3: Cross multiply
    288,050.20x = 431,945.70 × 110,498.20
  4. Step 4: Simplify right side
    288,050.20x = 47,729,222,347.74
  5. Step 5: Solve for x
    x = 47,729,222,347.74/288,050.20
  6. Step 6: Final answer
    x = 165,697.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.