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Finding the Fourth Proportional to 279,752.31, 419,670.16 and 99,823.71

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Solution

The fourth proportional to 279,752.31, 419,670.16 and 99,823.71 is: 149,750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,752.31 : 419,670.16 = 99,823.71 : x
  2. Step 2: Convert to fraction form
    279,752.31/419,670.16 = 99,823.71/x
  3. Step 3: Cross multiply
    279,752.31x = 419,670.16 × 99,823.71
  4. Step 4: Simplify right side
    279,752.31x = 41,893,032,347.49
  5. Step 5: Solve for x
    x = 41,893,032,347.49/279,752.31
  6. Step 6: Final answer
    x = 149,750.44

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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.