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Finding the Fourth Proportional to 83,328, 114,852.78 and 63,178.44

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Solution

The fourth proportional to 83,328, 114,852.78 and 63,178.44 is: 87,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,328 : 114,852.78 = 63,178.44 : x
  2. Step 2: Convert to fraction form
    83,328/114,852.78 = 63,178.44/x
  3. Step 3: Cross multiply
    83,328x = 114,852.78 × 63,178.44
  4. Step 4: Simplify right side
    83,328x = 7,256,219,470.06
  5. Step 5: Solve for x
    x = 7,256,219,470.06/83,328
  6. Step 6: Final answer
    x = 87,080.21

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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.