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Finding the Fourth Proportional to 175,954.08, 263,954.88 and 51,294

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Solution

The fourth proportional to 175,954.08, 263,954.88 and 51,294 is: 76,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,954.08 : 263,954.88 = 51,294 : x
  2. Step 2: Convert to fraction form
    175,954.08/263,954.88 = 51,294/x
  3. Step 3: Cross multiply
    175,954.08x = 263,954.88 × 51,294
  4. Step 4: Simplify right side
    175,954.08x = 13,539,301,614.72
  5. Step 5: Solve for x
    x = 13,539,301,614.72/175,954.08
  6. Step 6: Final answer
    x = 76,947.93

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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.