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Finding the Fourth Proportional to 260,408.48, 359,214.20 and 152,958.74

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Solution

The fourth proportional to 260,408.48, 359,214.20 and 152,958.74 is: 210,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,408.48 : 359,214.20 = 152,958.74 : x
  2. Step 2: Convert to fraction form
    260,408.48/359,214.20 = 152,958.74/x
  3. Step 3: Cross multiply
    260,408.48x = 359,214.20 × 152,958.74
  4. Step 4: Simplify right side
    260,408.48x = 54,944,951,422.11
  5. Step 5: Solve for x
    x = 54,944,951,422.11/260,408.48
  6. Step 6: Final answer
    x = 210,995.25

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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.