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Finding the Fourth Proportional to 230,099.10, 317,536.11 and 129,497.10

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Solution

The fourth proportional to 230,099.10, 317,536.11 and 129,497.10 is: 178,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,099.10 : 317,536.11 = 129,497.10 : x
  2. Step 2: Convert to fraction form
    230,099.10/317,536.11 = 129,497.10/x
  3. Step 3: Cross multiply
    230,099.10x = 317,536.11 × 129,497.10
  4. Step 4: Simplify right side
    230,099.10x = 41,120,005,390.28
  5. Step 5: Solve for x
    x = 41,120,005,390.28/230,099.10
  6. Step 6: Final answer
    x = 178,705.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.