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Finding the Fourth Proportional to 254,343, 350,993.34 and 141,166.56

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Solution

The fourth proportional to 254,343, 350,993.34 and 141,166.56 is: 194,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,343 : 350,993.34 = 141,166.56 : x
  2. Step 2: Convert to fraction form
    254,343/350,993.34 = 141,166.56/x
  3. Step 3: Cross multiply
    254,343x = 350,993.34 × 141,166.56
  4. Step 4: Simplify right side
    254,343x = 49,548,522,390.71
  5. Step 5: Solve for x
    x = 49,548,522,390.71/254,343
  6. Step 6: Final answer
    x = 194,809.85

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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.