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Finding the Fourth Proportional to 111,364.96, 167,088.48 and 52,219.84

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Solution

The fourth proportional to 111,364.96, 167,088.48 and 52,219.84 is: 78,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,364.96 : 167,088.48 = 52,219.84 : x
  2. Step 2: Convert to fraction form
    111,364.96/167,088.48 = 52,219.84/x
  3. Step 3: Cross multiply
    111,364.96x = 167,088.48 × 52,219.84
  4. Step 4: Simplify right side
    111,364.96x = 8,725,333,691.44
  5. Step 5: Solve for x
    x = 8,725,333,691.44/111,364.96
  6. Step 6: Final answer
    x = 78,349.00

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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.