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Finding the Fourth Proportional to 111,368.96, 167,094.48 and 52,223.84

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Solution

The fourth proportional to 111,368.96, 167,094.48 and 52,223.84 is: 78,355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,368.96 : 167,094.48 = 52,223.84 : x
  2. Step 2: Convert to fraction form
    111,368.96/167,094.48 = 52,223.84/x
  3. Step 3: Cross multiply
    111,368.96x = 167,094.48 × 52,223.84
  4. Step 4: Simplify right side
    111,368.96x = 8,726,315,388.40
  5. Step 5: Solve for x
    x = 8,726,315,388.40/111,368.96
  6. Step 6: Final answer
    x = 78,355.00

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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.