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Finding the Fourth Proportional to 208,712.88, 313,068.24 and 50,942.16

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Solution

The fourth proportional to 208,712.88, 313,068.24 and 50,942.16 is: 76,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,712.88 : 313,068.24 = 50,942.16 : x
  2. Step 2: Convert to fraction form
    208,712.88/313,068.24 = 50,942.16/x
  3. Step 3: Cross multiply
    208,712.88x = 313,068.24 × 50,942.16
  4. Step 4: Simplify right side
    208,712.88x = 15,948,372,373.00
  5. Step 5: Solve for x
    x = 15,948,372,373.00/208,712.88
  6. Step 6: Final answer
    x = 76,412.98

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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.