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Finding the Fourth Proportional to 140,660.47, 210,990.71 and 42,164.47

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Solution

The fourth proportional to 140,660.47, 210,990.71 and 42,164.47 is: 63,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,660.47 : 210,990.71 = 42,164.47 : x
  2. Step 2: Convert to fraction form
    140,660.47/210,990.71 = 42,164.47/x
  3. Step 3: Cross multiply
    140,660.47x = 210,990.71 × 42,164.47
  4. Step 4: Simplify right side
    140,660.47x = 8,896,311,462.07
  5. Step 5: Solve for x
    x = 8,896,311,462.07/140,660.47
  6. Step 6: Final answer
    x = 63,246.71

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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.