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Finding the Fourth Proportional to 164,797.84, 227,404.20 and 101,138.32

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Solution

The fourth proportional to 164,797.84, 227,404.20 and 101,138.32 is: 139,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,797.84 : 227,404.20 = 101,138.32 : x
  2. Step 2: Convert to fraction form
    164,797.84/227,404.20 = 101,138.32/x
  3. Step 3: Cross multiply
    164,797.84x = 227,404.20 × 101,138.32
  4. Step 4: Simplify right side
    164,797.84x = 22,999,278,748.94
  5. Step 5: Solve for x
    x = 22,999,278,748.94/164,797.84
  6. Step 6: Final answer
    x = 139,560.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.