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Finding the Fourth Proportional to 251,735.65, 377,513.53 and 83,224.87

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Solution

The fourth proportional to 251,735.65, 377,513.53 and 83,224.87 is: 124,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,735.65 : 377,513.53 = 83,224.87 : x
  2. Step 2: Convert to fraction form
    251,735.65/377,513.53 = 83,224.87/x
  3. Step 3: Cross multiply
    251,735.65x = 377,513.53 × 83,224.87
  4. Step 4: Simplify right side
    251,735.65x = 31,418,513,305.65
  5. Step 5: Solve for x
    x = 31,418,513,305.65/251,735.65
  6. Step 6: Final answer
    x = 124,807.57

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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.