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Finding the Fourth Proportional to 176,778.64, 265,128.96 and 52,090.48

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Solution

The fourth proportional to 176,778.64, 265,128.96 and 52,090.48 is: 78,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,778.64 : 265,128.96 = 52,090.48 : x
  2. Step 2: Convert to fraction form
    176,778.64/265,128.96 = 52,090.48/x
  3. Step 3: Cross multiply
    176,778.64x = 265,128.96 × 52,090.48
  4. Step 4: Simplify right side
    176,778.64x = 13,810,694,788.30
  5. Step 5: Solve for x
    x = 13,810,694,788.30/176,778.64
  6. Step 6: Final answer
    x = 78,124.23

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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.