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Finding the Fourth Proportional to 175,770.64, 263,653.76 and 42,652

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Solution

The fourth proportional to 175,770.64, 263,653.76 and 42,652 is: 63,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,770.64 : 263,653.76 = 42,652 : x
  2. Step 2: Convert to fraction form
    175,770.64/263,653.76 = 42,652/x
  3. Step 3: Cross multiply
    175,770.64x = 263,653.76 × 42,652
  4. Step 4: Simplify right side
    175,770.64x = 11,245,360,171.52
  5. Step 5: Solve for x
    x = 11,245,360,171.52/175,770.64
  6. Step 6: Final answer
    x = 63,977.47

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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.