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Finding the Fourth Proportional to 194,954.80, 292,286.40 and 106,308.40

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Solution

The fourth proportional to 194,954.80, 292,286.40 and 106,308.40 is: 159,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,954.80 : 292,286.40 = 106,308.40 : x
  2. Step 2: Convert to fraction form
    194,954.80/292,286.40 = 106,308.40/x
  3. Step 3: Cross multiply
    194,954.80x = 292,286.40 × 106,308.40
  4. Step 4: Simplify right side
    194,954.80x = 31,072,499,525.76
  5. Step 5: Solve for x
    x = 31,072,499,525.76/194,954.80
  6. Step 6: Final answer
    x = 159,383.10

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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.