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Finding the Fourth Proportional to 239,795.84, 331,050.84 and 144,326

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Solution

The fourth proportional to 239,795.84, 331,050.84 and 144,326 is: 199,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,795.84 : 331,050.84 = 144,326 : x
  2. Step 2: Convert to fraction form
    239,795.84/331,050.84 = 144,326/x
  3. Step 3: Cross multiply
    239,795.84x = 331,050.84 × 144,326
  4. Step 4: Simplify right side
    239,795.84x = 47,779,243,533.84
  5. Step 5: Solve for x
    x = 47,779,243,533.84/239,795.84
  6. Step 6: Final answer
    x = 199,249.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.