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Finding the Fourth Proportional to 262,656.84, 394,050.06 and 75,666.72

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Solution

The fourth proportional to 262,656.84, 394,050.06 and 75,666.72 is: 113,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,656.84 : 394,050.06 = 75,666.72 : x
  2. Step 2: Convert to fraction form
    262,656.84/394,050.06 = 75,666.72/x
  3. Step 3: Cross multiply
    262,656.84x = 394,050.06 × 75,666.72
  4. Step 4: Simplify right side
    262,656.84x = 29,816,475,556.00
  5. Step 5: Solve for x
    x = 29,816,475,556.00/262,656.84
  6. Step 6: Final answer
    x = 113,518.75

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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.