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Finding the Fourth Proportional to 280,683.68, 420,889.04 and 93,632

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Solution

The fourth proportional to 280,683.68, 420,889.04 and 93,632 is: 140,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,683.68 : 420,889.04 = 93,632 : x
  2. Step 2: Convert to fraction form
    280,683.68/420,889.04 = 93,632/x
  3. Step 3: Cross multiply
    280,683.68x = 420,889.04 × 93,632
  4. Step 4: Simplify right side
    280,683.68x = 39,408,682,593.28
  5. Step 5: Solve for x
    x = 39,408,682,593.28/280,683.68
  6. Step 6: Final answer
    x = 140,402.47

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Why These Related Problems?

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