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Finding the Fourth Proportional to 100,023.36, 137,967.21 and 64,156.56

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Solution

The fourth proportional to 100,023.36, 137,967.21 and 64,156.56 is: 88,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,023.36 : 137,967.21 = 64,156.56 : x
  2. Step 2: Convert to fraction form
    100,023.36/137,967.21 = 64,156.56/x
  3. Step 3: Cross multiply
    100,023.36x = 137,967.21 × 64,156.56
  4. Step 4: Simplify right side
    100,023.36x = 8,851,501,586.40
  5. Step 5: Solve for x
    x = 8,851,501,586.40/100,023.36
  6. Step 6: Final answer
    x = 88,494.34

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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.