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Finding the Fourth Proportional to 113,796.96, 156,923.28 and 75,543

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Solution

The fourth proportional to 113,796.96, 156,923.28 and 75,543 is: 104,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,796.96 : 156,923.28 = 75,543 : x
  2. Step 2: Convert to fraction form
    113,796.96/156,923.28 = 75,543/x
  3. Step 3: Cross multiply
    113,796.96x = 156,923.28 × 75,543
  4. Step 4: Simplify right side
    113,796.96x = 11,854,455,341.04
  5. Step 5: Solve for x
    x = 11,854,455,341.04/113,796.96
  6. Step 6: Final answer
    x = 104,171.99

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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.