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Finding the Fourth Proportional to 101,853.25, 140,546.08 and 56,533.14

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Solution

The fourth proportional to 101,853.25, 140,546.08 and 56,533.14 is: 78,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,853.25 : 140,546.08 = 56,533.14 : x
  2. Step 2: Convert to fraction form
    101,853.25/140,546.08 = 56,533.14/x
  3. Step 3: Cross multiply
    101,853.25x = 140,546.08 × 56,533.14
  4. Step 4: Simplify right side
    101,853.25x = 7,945,510,724.39
  5. Step 5: Solve for x
    x = 7,945,510,724.39/101,853.25
  6. Step 6: Final answer
    x = 78,009.40

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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.