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Finding the Fourth Proportional to 101,739.23, 140,407.32 and 56,421.55

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Solution

The fourth proportional to 101,739.23, 140,407.32 and 56,421.55 is: 77,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,739.23 : 140,407.32 = 56,421.55 : x
  2. Step 2: Convert to fraction form
    101,739.23/140,407.32 = 56,421.55/x
  3. Step 3: Cross multiply
    101,739.23x = 140,407.32 × 56,421.55
  4. Step 4: Simplify right side
    101,739.23x = 7,921,998,274.73
  5. Step 5: Solve for x
    x = 7,921,998,274.73/101,739.23
  6. Step 6: Final answer
    x = 77,865.72

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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.