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Finding the Fourth Proportional to 177,300.78, 265,994.97 and 52,641.66

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Solution

The fourth proportional to 177,300.78, 265,994.97 and 52,641.66 is: 78,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,300.78 : 265,994.97 = 52,641.66 : x
  2. Step 2: Convert to fraction form
    177,300.78/265,994.97 = 52,641.66/x
  3. Step 3: Cross multiply
    177,300.78x = 265,994.97 × 52,641.66
  4. Step 4: Simplify right side
    177,300.78x = 14,002,416,772.45
  5. Step 5: Solve for x
    x = 14,002,416,772.45/177,300.78
  6. Step 6: Final answer
    x = 78,975.49

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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.