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Finding the Fourth Proportional to 175,903.53, 263,853.17 and 42,783.95

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Solution

The fourth proportional to 175,903.53, 263,853.17 and 42,783.95 is: 64,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,903.53 : 263,853.17 = 42,783.95 : x
  2. Step 2: Convert to fraction form
    175,903.53/263,853.17 = 42,783.95/x
  3. Step 3: Cross multiply
    175,903.53x = 263,853.17 × 42,783.95
  4. Step 4: Simplify right side
    175,903.53x = 11,288,680,832.62
  5. Step 5: Solve for x
    x = 11,288,680,832.62/175,903.53
  6. Step 6: Final answer
    x = 64,175.41

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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.