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Finding the Fourth Proportional to 122,624.80, 183,998.76 and 56,059

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Solution

The fourth proportional to 122,624.80, 183,998.76 and 56,059 is: 84,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,624.80 : 183,998.76 = 56,059 : x
  2. Step 2: Convert to fraction form
    122,624.80/183,998.76 = 56,059/x
  3. Step 3: Cross multiply
    122,624.80x = 183,998.76 × 56,059
  4. Step 4: Simplify right side
    122,624.80x = 10,314,786,486.84
  5. Step 5: Solve for x
    x = 10,314,786,486.84/122,624.80
  6. Step 6: Final answer
    x = 84,116.64

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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.