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Finding the Fourth Proportional to 333,095.31, 499,571.31 and 105,408.93

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Solution

The fourth proportional to 333,095.31, 499,571.31 and 105,408.93 is: 158,090.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,095.31 : 499,571.31 = 105,408.93 : x
  2. Step 2: Convert to fraction form
    333,095.31/499,571.31 = 105,408.93/x
  3. Step 3: Cross multiply
    333,095.31x = 499,571.31 × 105,408.93
  4. Step 4: Simplify right side
    333,095.31x = 52,659,277,245.80
  5. Step 5: Solve for x
    x = 52,659,277,245.80/333,095.31
  6. Step 6: Final answer
    x = 158,090.72

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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.