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Finding the Fourth Proportional to 310,913.14, 466,320.30 and 111,196.30

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Solution

The fourth proportional to 310,913.14, 466,320.30 and 111,196.30 is: 166,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,913.14 : 466,320.30 = 111,196.30 : x
  2. Step 2: Convert to fraction form
    310,913.14/466,320.30 = 111,196.30/x
  3. Step 3: Cross multiply
    310,913.14x = 466,320.30 × 111,196.30
  4. Step 4: Simplify right side
    310,913.14x = 51,853,091,974.89
  5. Step 5: Solve for x
    x = 51,853,091,974.89/310,913.14
  6. Step 6: Final answer
    x = 166,776.78

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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.