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Finding the Fourth Proportional to 191,957.11, 264,915.66 and 105,933.17

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Solution

The fourth proportional to 191,957.11, 264,915.66 and 105,933.17 is: 146,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,957.11 : 264,915.66 = 105,933.17 : x
  2. Step 2: Convert to fraction form
    191,957.11/264,915.66 = 105,933.17/x
  3. Step 3: Cross multiply
    191,957.11x = 264,915.66 × 105,933.17
  4. Step 4: Simplify right side
    191,957.11x = 28,063,355,215.83
  5. Step 5: Solve for x
    x = 28,063,355,215.83/191,957.11
  6. Step 6: Final answer
    x = 146,195.97

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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.