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Finding the Fourth Proportional to 233,279.12, 349,879.80 and 75,484.64

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Solution

The fourth proportional to 233,279.12, 349,879.80 and 75,484.64 is: 113,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,279.12 : 349,879.80 = 75,484.64 : x
  2. Step 2: Convert to fraction form
    233,279.12/349,879.80 = 75,484.64/x
  3. Step 3: Cross multiply
    233,279.12x = 349,879.80 × 75,484.64
  4. Step 4: Simplify right side
    233,279.12x = 26,410,550,746.27
  5. Step 5: Solve for x
    x = 26,410,550,746.27/233,279.12
  6. Step 6: Final answer
    x = 113,214.38

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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.