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Finding the Fourth Proportional to 184,171.86, 254,179.65 and 103,602.78

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Solution

The fourth proportional to 184,171.86, 254,179.65 and 103,602.78 is: 142,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,171.86 : 254,179.65 = 103,602.78 : x
  2. Step 2: Convert to fraction form
    184,171.86/254,179.65 = 103,602.78/x
  3. Step 3: Cross multiply
    184,171.86x = 254,179.65 × 103,602.78
  4. Step 4: Simplify right side
    184,171.86x = 26,333,718,359.43
  5. Step 5: Solve for x
    x = 26,333,718,359.43/184,171.86
  6. Step 6: Final answer
    x = 142,984.48

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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.