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Finding the Fourth Proportional to 151,796.40, 212,826 and 151,796.40

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Solution

The fourth proportional to 151,796.40, 212,826 and 151,796.40 is: 212,826

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,796.40 : 212,826 = 151,796.40 : x
  2. Step 2: Convert to fraction form
    151,796.40/212,826 = 151,796.40/x
  3. Step 3: Cross multiply
    151,796.40x = 212,826 × 151,796.40
  4. Step 4: Simplify right side
    151,796.40x = 32,306,220,626.40
  5. Step 5: Solve for x
    x = 32,306,220,626.40/151,796.40
  6. Step 6: Final answer
    x = 212,826

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.