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Finding the Fourth Proportional to 101,298, 139,791.24 and 56,586

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Solution

The fourth proportional to 101,298, 139,791.24 and 56,586 is: 78,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,298 : 139,791.24 = 56,586 : x
  2. Step 2: Convert to fraction form
    101,298/139,791.24 = 56,586/x
  3. Step 3: Cross multiply
    101,298x = 139,791.24 × 56,586
  4. Step 4: Simplify right side
    101,298x = 7,910,227,106.64
  5. Step 5: Solve for x
    x = 7,910,227,106.64/101,298
  6. Step 6: Final answer
    x = 78,088.68

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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.