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Finding the Fourth Proportional to 194,727.60, 292,091.40 and 105,935.40

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Solution

The fourth proportional to 194,727.60, 292,091.40 and 105,935.40 is: 158,903.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,727.60 : 292,091.40 = 105,935.40 : x
  2. Step 2: Convert to fraction form
    194,727.60/292,091.40 = 105,935.40/x
  3. Step 3: Cross multiply
    194,727.60x = 292,091.40 × 105,935.40
  4. Step 4: Simplify right side
    194,727.60x = 30,942,819,295.56
  5. Step 5: Solve for x
    x = 30,942,819,295.56/194,727.60
  6. Step 6: Final answer
    x = 158,903.10

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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.