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Finding the Fourth Proportional to 261,103.70, 360,441.18 and 164,449.60

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Solution

The fourth proportional to 261,103.70, 360,441.18 and 164,449.60 is: 227,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,103.70 : 360,441.18 = 164,449.60 : x
  2. Step 2: Convert to fraction form
    261,103.70/360,441.18 = 164,449.60/x
  3. Step 3: Cross multiply
    261,103.70x = 360,441.18 × 164,449.60
  4. Step 4: Simplify right side
    261,103.70x = 59,274,407,874.53
  5. Step 5: Solve for x
    x = 59,274,407,874.53/261,103.70
  6. Step 6: Final answer
    x = 227,014.81

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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.