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Finding the Fourth Proportional to 311,210.10, 466,750.35 and 133,722.90

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Solution

The fourth proportional to 311,210.10, 466,750.35 and 133,722.90 is: 200,556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,210.10 : 466,750.35 = 133,722.90 : x
  2. Step 2: Convert to fraction form
    311,210.10/466,750.35 = 133,722.90/x
  3. Step 3: Cross multiply
    311,210.10x = 466,750.35 × 133,722.90
  4. Step 4: Simplify right side
    311,210.10x = 62,415,210,378.02
  5. Step 5: Solve for x
    x = 62,415,210,378.02/311,210.10
  6. Step 6: Final answer
    x = 200,556.51

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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.