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Finding the Fourth Proportional to 230,293.96, 317,806.31 and 133,516.58

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Solution

The fourth proportional to 230,293.96, 317,806.31 and 133,516.58 is: 184,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,293.96 : 317,806.31 = 133,516.58 : x
  2. Step 2: Convert to fraction form
    230,293.96/317,806.31 = 133,516.58/x
  3. Step 3: Cross multiply
    230,293.96x = 317,806.31 × 133,516.58
  4. Step 4: Simplify right side
    230,293.96x = 42,432,410,358.38
  5. Step 5: Solve for x
    x = 42,432,410,358.38/230,293.96
  6. Step 6: Final answer
    x = 184,253.25

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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.