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Finding the Fourth Proportional to 248,854.30, 373,281.45 and 82,642.30

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Solution

The fourth proportional to 248,854.30, 373,281.45 and 82,642.30 is: 123,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,854.30 : 373,281.45 = 82,642.30 : x
  2. Step 2: Convert to fraction form
    248,854.30/373,281.45 = 82,642.30/x
  3. Step 3: Cross multiply
    248,854.30x = 373,281.45 × 82,642.30
  4. Step 4: Simplify right side
    248,854.30x = 30,848,837,575.34
  5. Step 5: Solve for x
    x = 30,848,837,575.34/248,854.30
  6. Step 6: Final answer
    x = 123,963.45

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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.