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Finding the Fourth Proportional to 188,734.65, 283,150.97 and 70,406.88

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Solution

The fourth proportional to 188,734.65, 283,150.97 and 70,406.88 is: 105,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,734.65 : 283,150.97 = 70,406.88 : x
  2. Step 2: Convert to fraction form
    188,734.65/283,150.97 = 70,406.88/x
  3. Step 3: Cross multiply
    188,734.65x = 283,150.97 × 70,406.88
  4. Step 4: Simplify right side
    188,734.65x = 19,935,776,366.67
  5. Step 5: Solve for x
    x = 19,935,776,366.67/188,734.65
  6. Step 6: Final answer
    x = 105,628.60

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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.