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Finding the Fourth Proportional to 121,874.22, 182,792.80 and 46,983.44

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Solution

The fourth proportional to 121,874.22, 182,792.80 and 46,983.44 is: 70,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,874.22 : 182,792.80 = 46,983.44 : x
  2. Step 2: Convert to fraction form
    121,874.22/182,792.80 = 46,983.44/x
  3. Step 3: Cross multiply
    121,874.22x = 182,792.80 × 46,983.44
  4. Step 4: Simplify right side
    121,874.22x = 8,588,234,316.31
  5. Step 5: Solve for x
    x = 8,588,234,316.31/121,874.22
  6. Step 6: Final answer
    x = 70,468.01

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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.