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Finding the Fourth Proportional to 114,419.40, 171,629.10 and 52,211.40

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Solution

The fourth proportional to 114,419.40, 171,629.10 and 52,211.40 is: 78,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,419.40 : 171,629.10 = 52,211.40 : x
  2. Step 2: Convert to fraction form
    114,419.40/171,629.10 = 52,211.40/x
  3. Step 3: Cross multiply
    114,419.40x = 171,629.10 × 52,211.40
  4. Step 4: Simplify right side
    114,419.40x = 8,960,995,591.74
  5. Step 5: Solve for x
    x = 8,960,995,591.74/114,419.40
  6. Step 6: Final answer
    x = 78,317.10

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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.