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Finding the Fourth Proportional to 191,687.75, 264,518.30 and 105,646.47

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Solution

The fourth proportional to 191,687.75, 264,518.30 and 105,646.47 is: 145,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,687.75 : 264,518.30 = 105,646.47 : x
  2. Step 2: Convert to fraction form
    191,687.75/264,518.30 = 105,646.47/x
  3. Step 3: Cross multiply
    191,687.75x = 264,518.30 × 105,646.47
  4. Step 4: Simplify right side
    191,687.75x = 27,945,423,917.57
  5. Step 5: Solve for x
    x = 27,945,423,917.57/191,687.75
  6. Step 6: Final answer
    x = 145,786.18

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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.