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Finding the Fourth Proportional to 251,507.88, 377,299.33 and 83,046

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Solution

The fourth proportional to 251,507.88, 377,299.33 and 83,046 is: 124,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,507.88 : 377,299.33 = 83,046 : x
  2. Step 2: Convert to fraction form
    251,507.88/377,299.33 = 83,046/x
  3. Step 3: Cross multiply
    251,507.88x = 377,299.33 × 83,046
  4. Step 4: Simplify right side
    251,507.88x = 31,333,199,951.57
  5. Step 5: Solve for x
    x = 31,333,199,951.57/251,507.88
  6. Step 6: Final answer
    x = 124,581.38

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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.