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Finding the Fourth Proportional to 101,760.50, 140,422.50 and 56,434.23

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Solution

The fourth proportional to 101,760.50, 140,422.50 and 56,434.23 is: 77,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,760.50 : 140,422.50 = 56,434.23 : x
  2. Step 2: Convert to fraction form
    101,760.50/140,422.50 = 56,434.23/x
  3. Step 3: Cross multiply
    101,760.50x = 140,422.50 × 56,434.23
  4. Step 4: Simplify right side
    101,760.50x = 7,924,635,662.18
  5. Step 5: Solve for x
    x = 7,924,635,662.18/101,760.50
  6. Step 6: Final answer
    x = 77,875.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.