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Finding the Fourth Proportional to 174,784.90, 262,264.42 and 80,014.90

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Solution

The fourth proportional to 174,784.90, 262,264.42 and 80,014.90 is: 120,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,784.90 : 262,264.42 = 80,014.90 : x
  2. Step 2: Convert to fraction form
    174,784.90/262,264.42 = 80,014.90/x
  3. Step 3: Cross multiply
    174,784.90x = 262,264.42 × 80,014.90
  4. Step 4: Simplify right side
    174,784.90x = 20,985,061,339.86
  5. Step 5: Solve for x
    x = 20,985,061,339.86/174,784.90
  6. Step 6: Final answer
    x = 120,062.21

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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.