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Finding the Fourth Proportional to 197,235.28, 295,926.72 and 102,406.28

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Solution

The fourth proportional to 197,235.28, 295,926.72 and 102,406.28 is: 153,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,235.28 : 295,926.72 = 102,406.28 : x
  2. Step 2: Convert to fraction form
    197,235.28/295,926.72 = 102,406.28/x
  3. Step 3: Cross multiply
    197,235.28x = 295,926.72 × 102,406.28
  4. Step 4: Simplify right side
    197,235.28x = 30,304,754,561.92
  5. Step 5: Solve for x
    x = 30,304,754,561.92/197,235.28
  6. Step 6: Final answer
    x = 153,647.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.