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Finding the Fourth Proportional to 111,705.60, 167,415.84 and 52,410.36

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Solution

The fourth proportional to 111,705.60, 167,415.84 and 52,410.36 is: 78,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,705.60 : 167,415.84 = 52,410.36 : x
  2. Step 2: Convert to fraction form
    111,705.60/167,415.84 = 52,410.36/x
  3. Step 3: Cross multiply
    111,705.60x = 167,415.84 × 52,410.36
  4. Step 4: Simplify right side
    111,705.60x = 8,774,324,444.10
  5. Step 5: Solve for x
    x = 8,774,324,444.10/111,705.60
  6. Step 6: Final answer
    x = 78,548.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.