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Finding the Fourth Proportional to 127,114.36, 190,596.77 and 48,234.13

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Solution

The fourth proportional to 127,114.36, 190,596.77 and 48,234.13 is: 72,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,114.36 : 190,596.77 = 48,234.13 : x
  2. Step 2: Convert to fraction form
    127,114.36/190,596.77 = 48,234.13/x
  3. Step 3: Cross multiply
    127,114.36x = 190,596.77 × 48,234.13
  4. Step 4: Simplify right side
    127,114.36x = 9,193,268,428.78
  5. Step 5: Solve for x
    x = 9,193,268,428.78/127,114.36
  6. Step 6: Final answer
    x = 72,322.82

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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.