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Finding the Fourth Proportional to 101,724, 140,380.82 and 56,403.89

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Solution

The fourth proportional to 101,724, 140,380.82 and 56,403.89 is: 77,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,724 : 140,380.82 = 56,403.89 : x
  2. Step 2: Convert to fraction form
    101,724/140,380.82 = 56,403.89/x
  3. Step 3: Cross multiply
    101,724x = 140,380.82 × 56,403.89
  4. Step 4: Simplify right side
    101,724x = 7,918,023,345.47
  5. Step 5: Solve for x
    x = 7,918,023,345.47/101,724
  6. Step 6: Final answer
    x = 77,838.30

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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.