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Finding the Fourth Proportional to 147,393.63, 203,378.31 and 82,854.28

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Solution

The fourth proportional to 147,393.63, 203,378.31 and 82,854.28 is: 114,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,393.63 : 203,378.31 = 82,854.28 : x
  2. Step 2: Convert to fraction form
    147,393.63/203,378.31 = 82,854.28/x
  3. Step 3: Cross multiply
    147,393.63x = 203,378.31 × 82,854.28
  4. Step 4: Simplify right side
    147,393.63x = 16,850,764,038.49
  5. Step 5: Solve for x
    x = 16,850,764,038.49/147,393.63
  6. Step 6: Final answer
    x = 114,324.91

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1.5x scale

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.