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Finding the Fourth Proportional to 191,741.66, 264,604.32 and 105,698.78

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Solution

The fourth proportional to 191,741.66, 264,604.32 and 105,698.78 is: 145,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,741.66 : 264,604.32 = 105,698.78 : x
  2. Step 2: Convert to fraction form
    191,741.66/264,604.32 = 105,698.78/x
  3. Step 3: Cross multiply
    191,741.66x = 264,604.32 × 105,698.78
  4. Step 4: Simplify right side
    191,741.66x = 27,968,353,806.73
  5. Step 5: Solve for x
    x = 27,968,353,806.73/191,741.66
  6. Step 6: Final answer
    x = 145,864.77

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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.