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Finding the Fourth Proportional to 140,466.58, 210,601.43 and 51,708.57

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Solution

The fourth proportional to 140,466.58, 210,601.43 and 51,708.57 is: 77,526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,466.58 : 210,601.43 = 51,708.57 : x
  2. Step 2: Convert to fraction form
    140,466.58/210,601.43 = 51,708.57/x
  3. Step 3: Cross multiply
    140,466.58x = 210,601.43 × 51,708.57
  4. Step 4: Simplify right side
    140,466.58x = 10,889,898,785.26
  5. Step 5: Solve for x
    x = 10,889,898,785.26/140,466.58
  6. Step 6: Final answer
    x = 77,526.62

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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.