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Finding the Fourth Proportional to 197,698.24, 272,825.80 and 107,056.24

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Solution

The fourth proportional to 197,698.24, 272,825.80 and 107,056.24 is: 147,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,698.24 : 272,825.80 = 107,056.24 : x
  2. Step 2: Convert to fraction form
    197,698.24/272,825.80 = 107,056.24/x
  3. Step 3: Cross multiply
    197,698.24x = 272,825.80 × 107,056.24
  4. Step 4: Simplify right side
    197,698.24x = 29,207,704,322.99
  5. Step 5: Solve for x
    x = 29,207,704,322.99/197,698.24
  6. Step 6: Final answer
    x = 147,738.82

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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.