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Finding the Fourth Proportional to 127,021.19, 190,532.12 and 42,840.49

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Solution

The fourth proportional to 127,021.19, 190,532.12 and 42,840.49 is: 64,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,021.19 : 190,532.12 = 42,840.49 : x
  2. Step 2: Convert to fraction form
    127,021.19/190,532.12 = 42,840.49/x
  3. Step 3: Cross multiply
    127,021.19x = 190,532.12 × 42,840.49
  4. Step 4: Simplify right side
    127,021.19x = 8,162,489,012.31
  5. Step 5: Solve for x
    x = 8,162,489,012.31/127,021.19
  6. Step 6: Final answer
    x = 64,260.84

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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.