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Finding the Fourth Proportional to 176,865.60, 265,207.20 and 52,190.40

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Solution

The fourth proportional to 176,865.60, 265,207.20 and 52,190.40 is: 78,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,865.60 : 265,207.20 = 52,190.40 : x
  2. Step 2: Convert to fraction form
    176,865.60/265,207.20 = 52,190.40/x
  3. Step 3: Cross multiply
    176,865.60x = 265,207.20 × 52,190.40
  4. Step 4: Simplify right side
    176,865.60x = 13,841,269,850.88
  5. Step 5: Solve for x
    x = 13,841,269,850.88/176,865.60
  6. Step 6: Final answer
    x = 78,258.69

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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.