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Finding the Fourth Proportional to 127,233.64, 190,821.30 and 57,133

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Solution

The fourth proportional to 127,233.64, 190,821.30 and 57,133 is: 85,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,233.64 : 190,821.30 = 57,133 : x
  2. Step 2: Convert to fraction form
    127,233.64/190,821.30 = 57,133/x
  3. Step 3: Cross multiply
    127,233.64x = 190,821.30 × 57,133
  4. Step 4: Simplify right side
    127,233.64x = 10,902,193,332.90
  5. Step 5: Solve for x
    x = 10,902,193,332.90/127,233.64
  6. Step 6: Final answer
    x = 85,686.41

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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.