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Finding the Fourth Proportional to 232,967.49, 321,491.58 and 130,993.05

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Solution

The fourth proportional to 232,967.49, 321,491.58 and 130,993.05 is: 180,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,967.49 : 321,491.58 = 130,993.05 : x
  2. Step 2: Convert to fraction form
    232,967.49/321,491.58 = 130,993.05/x
  3. Step 3: Cross multiply
    232,967.49x = 321,491.58 × 130,993.05
  4. Step 4: Simplify right side
    232,967.49x = 42,113,162,256.33
  5. Step 5: Solve for x
    x = 42,113,162,256.33/232,967.49
  6. Step 6: Final answer
    x = 180,768.41

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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.