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Finding the Fourth Proportional to 140,823.60, 210,846.60 and 109,719.60

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Solution

The fourth proportional to 140,823.60, 210,846.60 and 109,719.60 is: 164,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,823.60 : 210,846.60 = 109,719.60 : x
  2. Step 2: Convert to fraction form
    140,823.60/210,846.60 = 109,719.60/x
  3. Step 3: Cross multiply
    140,823.60x = 210,846.60 × 109,719.60
  4. Step 4: Simplify right side
    140,823.60x = 23,134,004,613.36
  5. Step 5: Solve for x
    x = 23,134,004,613.36/140,823.60
  6. Step 6: Final answer
    x = 164,276.48

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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.