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Finding the Fourth Proportional to 127,202.96, 190,441.56 and 100,946

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Solution

The fourth proportional to 127,202.96, 190,441.56 and 100,946 is: 151,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,202.96 : 190,441.56 = 100,946 : x
  2. Step 2: Convert to fraction form
    127,202.96/190,441.56 = 100,946/x
  3. Step 3: Cross multiply
    127,202.96x = 190,441.56 × 100,946
  4. Step 4: Simplify right side
    127,202.96x = 19,224,313,715.76
  5. Step 5: Solve for x
    x = 19,224,313,715.76/127,202.96
  6. Step 6: Final answer
    x = 151,131.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.