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Finding the Fourth Proportional to 296,499.96, 444,699.82 and 83,218.93

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Solution

The fourth proportional to 296,499.96, 444,699.82 and 83,218.93 is: 124,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,499.96 : 444,699.82 = 83,218.93 : x
  2. Step 2: Convert to fraction form
    296,499.96/444,699.82 = 83,218.93/x
  3. Step 3: Cross multiply
    296,499.96x = 444,699.82 × 83,218.93
  4. Step 4: Simplify right side
    296,499.96x = 37,007,442,183.87
  5. Step 5: Solve for x
    x = 37,007,442,183.87/296,499.96
  6. Step 6: Final answer
    x = 124,814.32

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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.