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Finding the Fourth Proportional to 230,019.54, 317,098.98 and 178,942.56

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Solution

The fourth proportional to 230,019.54, 317,098.98 and 178,942.56 is: 246,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,019.54 : 317,098.98 = 178,942.56 : x
  2. Step 2: Convert to fraction form
    230,019.54/317,098.98 = 178,942.56/x
  3. Step 3: Cross multiply
    230,019.54x = 317,098.98 × 178,942.56
  4. Step 4: Simplify right side
    230,019.54x = 56,742,503,254.59
  5. Step 5: Solve for x
    x = 56,742,503,254.59/230,019.54
  6. Step 6: Final answer
    x = 246,685.58

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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.