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Finding the Fourth Proportional to 230,298.67, 317,812.81 and 133,521.33

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Solution

The fourth proportional to 230,298.67, 317,812.81 and 133,521.33 is: 184,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,298.67 : 317,812.81 = 133,521.33 : x
  2. Step 2: Convert to fraction form
    230,298.67/317,812.81 = 133,521.33/x
  3. Step 3: Cross multiply
    230,298.67x = 317,812.81 × 133,521.33
  4. Step 4: Simplify right side
    230,298.67x = 42,434,789,082.24
  5. Step 5: Solve for x
    x = 42,434,789,082.24/230,298.67
  6. Step 6: Final answer
    x = 184,259.81

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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.