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Finding the Fourth Proportional to 118,456, 177,714.78 and 35,350

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Solution

The fourth proportional to 118,456, 177,714.78 and 35,350 is: 53,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,456 : 177,714.78 = 35,350 : x
  2. Step 2: Convert to fraction form
    118,456/177,714.78 = 35,350/x
  3. Step 3: Cross multiply
    118,456x = 177,714.78 × 35,350
  4. Step 4: Simplify right side
    118,456x = 6,282,217,473
  5. Step 5: Solve for x
    x = 6,282,217,473/118,456
  6. Step 6: Final answer
    x = 53,034.19

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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.