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Finding the Fourth Proportional to 127,151.76, 190,731.28 and 33,657.50

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Solution

The fourth proportional to 127,151.76, 190,731.28 and 33,657.50 is: 50,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,151.76 : 190,731.28 = 33,657.50 : x
  2. Step 2: Convert to fraction form
    127,151.76/190,731.28 = 33,657.50/x
  3. Step 3: Cross multiply
    127,151.76x = 190,731.28 × 33,657.50
  4. Step 4: Simplify right side
    127,151.76x = 6,419,538,056.60
  5. Step 5: Solve for x
    x = 6,419,538,056.60/127,151.76
  6. Step 6: Final answer
    x = 50,487.21

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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.