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Finding the Fourth Proportional to 191,856.68, 264,929.38 and 120,359.60

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Solution

The fourth proportional to 191,856.68, 264,929.38 and 120,359.60 is: 166,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,856.68 : 264,929.38 = 120,359.60 : x
  2. Step 2: Convert to fraction form
    191,856.68/264,929.38 = 120,359.60/x
  3. Step 3: Cross multiply
    191,856.68x = 264,929.38 × 120,359.60
  4. Step 4: Simplify right side
    191,856.68x = 31,886,794,205.05
  5. Step 5: Solve for x
    x = 31,886,794,205.05/191,856.68
  6. Step 6: Final answer
    x = 166,201.12

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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.