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Finding the Fourth Proportional to 111,564.36, 167,346.84 and 78,432.64

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Solution

The fourth proportional to 111,564.36, 167,346.84 and 78,432.64 is: 117,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,564.36 : 167,346.84 = 78,432.64 : x
  2. Step 2: Convert to fraction form
    111,564.36/167,346.84 = 78,432.64/x
  3. Step 3: Cross multiply
    111,564.36x = 167,346.84 × 78,432.64
  4. Step 4: Simplify right side
    111,564.36x = 13,125,454,456.86
  5. Step 5: Solve for x
    x = 13,125,454,456.86/111,564.36
  6. Step 6: Final answer
    x = 117,649.17

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