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Finding the Fourth Proportional to 127,200.96, 190,438.56 and 100,944

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Solution

The fourth proportional to 127,200.96, 190,438.56 and 100,944 is: 151,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,200.96 : 190,438.56 = 100,944 : x
  2. Step 2: Convert to fraction form
    127,200.96/190,438.56 = 100,944/x
  3. Step 3: Cross multiply
    127,200.96x = 190,438.56 × 100,944
  4. Step 4: Simplify right side
    127,200.96x = 19,223,630,000.64
  5. Step 5: Solve for x
    x = 19,223,630,000.64/127,200.96
  6. Step 6: Final answer
    x = 151,128.03

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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.