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Finding the Fourth Proportional to 109,930.70, 164,674.92 and 83,322.20

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Solution

The fourth proportional to 109,930.70, 164,674.92 and 83,322.20 is: 124,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,930.70 : 164,674.92 = 83,322.20 : x
  2. Step 2: Convert to fraction form
    109,930.70/164,674.92 = 83,322.20/x
  3. Step 3: Cross multiply
    109,930.70x = 164,674.92 × 83,322.20
  4. Step 4: Simplify right side
    109,930.70x = 13,721,076,619.22
  5. Step 5: Solve for x
    x = 13,721,076,619.22/109,930.70
  6. Step 6: Final answer
    x = 124,815.69

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1.5x scale

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.