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Finding the Fourth Proportional to 264,785.86, 397,054.00 and 96,187.30

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Solution

The fourth proportional to 264,785.86, 397,054.00 and 96,187.30 is: 144,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,785.86 : 397,054.00 = 96,187.30 : x
  2. Step 2: Convert to fraction form
    264,785.86/397,054.00 = 96,187.30/x
  3. Step 3: Cross multiply
    264,785.86x = 397,054.00 × 96,187.30
  4. Step 4: Simplify right side
    264,785.86x = 38,191,551,341.80
  5. Step 5: Solve for x
    x = 38,191,551,341.80/264,785.86
  6. Step 6: Final answer
    x = 144,235.61

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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.