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Finding the Fourth Proportional to 117,997.60, 177,097.20 and 47,927.20

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Solution

The fourth proportional to 117,997.60, 177,097.20 and 47,927.20 is: 71,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,997.60 : 177,097.20 = 47,927.20 : x
  2. Step 2: Convert to fraction form
    117,997.60/177,097.20 = 47,927.20/x
  3. Step 3: Cross multiply
    117,997.60x = 177,097.20 × 47,927.20
  4. Step 4: Simplify right side
    117,997.60x = 8,487,772,923.84
  5. Step 5: Solve for x
    x = 8,487,772,923.84/117,997.60
  6. Step 6: Final answer
    x = 71,931.74

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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.