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Finding the Fourth Proportional to 127,066, 190,593.50 and 42,820.60

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Solution

The fourth proportional to 127,066, 190,593.50 and 42,820.60 is: 64,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,066 : 190,593.50 = 42,820.60 : x
  2. Step 2: Convert to fraction form
    127,066/190,593.50 = 42,820.60/x
  3. Step 3: Cross multiply
    127,066x = 190,593.50 × 42,820.60
  4. Step 4: Simplify right side
    127,066x = 8,161,328,026.10
  5. Step 5: Solve for x
    x = 8,161,328,026.10/127,066
  6. Step 6: Final answer
    x = 64,229.05

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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.