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Finding the Fourth Proportional to 114,295.20, 171,442.80 and 35,408.80

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Solution

The fourth proportional to 114,295.20, 171,442.80 and 35,408.80 is: 53,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,295.20 : 171,442.80 = 35,408.80 : x
  2. Step 2: Convert to fraction form
    114,295.20/171,442.80 = 35,408.80/x
  3. Step 3: Cross multiply
    114,295.20x = 171,442.80 × 35,408.80
  4. Step 4: Simplify right side
    114,295.20x = 6,070,583,816.64
  5. Step 5: Solve for x
    x = 6,070,583,816.64/114,295.20
  6. Step 6: Final answer
    x = 53,113.20

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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.