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Finding the Fourth Proportional to 127,192.40, 190,790.36 and 38,446.64

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Solution

The fourth proportional to 127,192.40, 190,790.36 and 38,446.64 is: 57,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,192.40 : 190,790.36 = 38,446.64 : x
  2. Step 2: Convert to fraction form
    127,192.40/190,790.36 = 38,446.64/x
  3. Step 3: Cross multiply
    127,192.40x = 190,790.36 × 38,446.64
  4. Step 4: Simplify right side
    127,192.40x = 7,335,248,286.39
  5. Step 5: Solve for x
    x = 7,335,248,286.39/127,192.40
  6. Step 6: Final answer
    x = 57,670.49

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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.