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Finding the Fourth Proportional to 124,293.90, 186,467.86 and 45,408

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Solution

The fourth proportional to 124,293.90, 186,467.86 and 45,408 is: 68,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,293.90 : 186,467.86 = 45,408 : x
  2. Step 2: Convert to fraction form
    124,293.90/186,467.86 = 45,408/x
  3. Step 3: Cross multiply
    124,293.90x = 186,467.86 × 45,408
  4. Step 4: Simplify right side
    124,293.90x = 8,467,132,586.88
  5. Step 5: Solve for x
    x = 8,467,132,586.88/124,293.90
  6. Step 6: Final answer
    x = 68,121.87

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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.