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Finding the Fourth Proportional to 118,941.76, 178,419.36 and 52,412.96

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Solution

The fourth proportional to 118,941.76, 178,419.36 and 52,412.96 is: 78,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,941.76 : 178,419.36 = 52,412.96 : x
  2. Step 2: Convert to fraction form
    118,941.76/178,419.36 = 52,412.96/x
  3. Step 3: Cross multiply
    118,941.76x = 178,419.36 × 52,412.96
  4. Step 4: Simplify right side
    118,941.76x = 9,351,486,778.91
  5. Step 5: Solve for x
    x = 9,351,486,778.91/118,941.76
  6. Step 6: Final answer
    x = 78,622.40

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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.