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Finding the Fourth Proportional to 118,652.78, 177,979.14 and 35,546.78

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Solution

The fourth proportional to 118,652.78, 177,979.14 and 35,546.78 is: 53,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,652.78 : 177,979.14 = 35,546.78 : x
  2. Step 2: Convert to fraction form
    118,652.78/177,979.14 = 35,546.78/x
  3. Step 3: Cross multiply
    118,652.78x = 177,979.14 × 35,546.78
  4. Step 4: Simplify right side
    118,652.78x = 6,326,585,334.17
  5. Step 5: Solve for x
    x = 6,326,585,334.17/118,652.78
  6. Step 6: Final answer
    x = 53,320.16

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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.