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Finding the Fourth Proportional to 127,219.60, 190,829.42 and 42,980

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Solution

The fourth proportional to 127,219.60, 190,829.42 and 42,980 is: 64,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,219.60 : 190,829.42 = 42,980 : x
  2. Step 2: Convert to fraction form
    127,219.60/190,829.42 = 42,980/x
  3. Step 3: Cross multiply
    127,219.60x = 190,829.42 × 42,980
  4. Step 4: Simplify right side
    127,219.60x = 8,201,848,471.60
  5. Step 5: Solve for x
    x = 8,201,848,471.60/127,219.60
  6. Step 6: Final answer
    x = 64,470.01

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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.