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Finding the Fourth Proportional to 264,856.79, 397,186.08 and 96,327.93

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Solution

The fourth proportional to 264,856.79, 397,186.08 and 96,327.93 is: 144,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,856.79 : 397,186.08 = 96,327.93 : x
  2. Step 2: Convert to fraction form
    264,856.79/397,186.08 = 96,327.93/x
  3. Step 3: Cross multiply
    264,856.79x = 397,186.08 × 96,327.93
  4. Step 4: Simplify right side
    264,856.79x = 38,260,114,581.28
  5. Step 5: Solve for x
    x = 38,260,114,581.28/264,856.79
  6. Step 6: Final answer
    x = 144,455.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.