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Finding the Fourth Proportional to 316,548.44, 474,934.98 and 106,186.04

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Solution

The fourth proportional to 316,548.44, 474,934.98 and 106,186.04 is: 159,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,548.44 : 474,934.98 = 106,186.04 : x
  2. Step 2: Convert to fraction form
    316,548.44/474,934.98 = 106,186.04/x
  3. Step 3: Cross multiply
    316,548.44x = 474,934.98 × 106,186.04
  4. Step 4: Simplify right side
    316,548.44x = 50,431,464,783.68
  5. Step 5: Solve for x
    x = 50,431,464,783.68/316,548.44
  6. Step 6: Final answer
    x = 159,316.74

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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.