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Finding the Fourth Proportional to 191,825.94, 264,713.70 and 105,788.54

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Solution

The fourth proportional to 191,825.94, 264,713.70 and 105,788.54 is: 145,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,825.94 : 264,713.70 = 105,788.54 : x
  2. Step 2: Convert to fraction form
    191,825.94/264,713.70 = 105,788.54/x
  3. Step 3: Cross multiply
    191,825.94x = 264,713.70 × 105,788.54
  4. Step 4: Simplify right side
    191,825.94x = 28,003,675,841.00
  5. Step 5: Solve for x
    x = 28,003,675,841.00/191,825.94
  6. Step 6: Final answer
    x = 145,984.82

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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.