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Finding the Fourth Proportional to 96,597.44, 144,937.87 and 52,255.40

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Solution

The fourth proportional to 96,597.44, 144,937.87 and 52,255.40 is: 78,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,597.44 : 144,937.87 = 52,255.40 : x
  2. Step 2: Convert to fraction form
    96,597.44/144,937.87 = 52,255.40/x
  3. Step 3: Cross multiply
    96,597.44x = 144,937.87 × 52,255.40
  4. Step 4: Simplify right side
    96,597.44x = 7,573,786,603.70
  5. Step 5: Solve for x
    x = 7,573,786,603.70/96,597.44
  6. Step 6: Final answer
    x = 78,405.67

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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.