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Finding the Fourth Proportional to 191,832.75, 264,729.71 and 105,789.60

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Solution

The fourth proportional to 191,832.75, 264,729.71 and 105,789.60 is: 145,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,832.75 : 264,729.71 = 105,789.60 : x
  2. Step 2: Convert to fraction form
    191,832.75/264,729.71 = 105,789.60/x
  3. Step 3: Cross multiply
    191,832.75x = 264,729.71 × 105,789.60
  4. Step 4: Simplify right side
    191,832.75x = 28,005,649,600.07
  5. Step 5: Solve for x
    x = 28,005,649,600.07/191,832.75
  6. Step 6: Final answer
    x = 145,989.93

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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.