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Finding the Fourth Proportional to 191,967.84, 264,914.82 and 107,084.97

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Solution

The fourth proportional to 191,967.84, 264,914.82 and 107,084.97 is: 147,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,967.84 : 264,914.82 = 107,084.97 : x
  2. Step 2: Convert to fraction form
    191,967.84/264,914.82 = 107,084.97/x
  3. Step 3: Cross multiply
    191,967.84x = 264,914.82 × 107,084.97
  4. Step 4: Simplify right side
    191,967.84x = 28,368,395,552.26
  5. Step 5: Solve for x
    x = 28,368,395,552.26/191,967.84
  6. Step 6: Final answer
    x = 147,776.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.