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Finding the Fourth Proportional to 176,877.60, 244,078.78 and 100,398.28

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Solution

The fourth proportional to 176,877.60, 244,078.78 and 100,398.28 is: 138,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,877.60 : 244,078.78 = 100,398.28 : x
  2. Step 2: Convert to fraction form
    176,877.60/244,078.78 = 100,398.28/x
  3. Step 3: Cross multiply
    176,877.60x = 244,078.78 × 100,398.28
  4. Step 4: Simplify right side
    176,877.60x = 24,505,089,696.50
  5. Step 5: Solve for x
    x = 24,505,089,696.50/176,877.60
  6. Step 6: Final answer
    x = 138,542.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.