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Finding the Fourth Proportional to 114,182.64, 157,570.92 and 63,882

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Solution

The fourth proportional to 114,182.64, 157,570.92 and 63,882 is: 88,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,182.64 : 157,570.92 = 63,882 : x
  2. Step 2: Convert to fraction form
    114,182.64/157,570.92 = 63,882/x
  3. Step 3: Cross multiply
    114,182.64x = 157,570.92 × 63,882
  4. Step 4: Simplify right side
    114,182.64x = 10,065,945,511.44
  5. Step 5: Solve for x
    x = 10,065,945,511.44/114,182.64
  6. Step 6: Final answer
    x = 88,156.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.