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Finding the Fourth Proportional to 174,877.92, 262,319.04 and 50,220

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Solution

The fourth proportional to 174,877.92, 262,319.04 and 50,220 is: 75,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,877.92 : 262,319.04 = 50,220 : x
  2. Step 2: Convert to fraction form
    174,877.92/262,319.04 = 50,220/x
  3. Step 3: Cross multiply
    174,877.92x = 262,319.04 × 50,220
  4. Step 4: Simplify right side
    174,877.92x = 13,173,662,188.80
  5. Step 5: Solve for x
    x = 13,173,662,188.80/174,877.92
  6. Step 6: Final answer
    x = 75,330.62

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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.