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Finding the Fourth Proportional to 232,508.02, 320,958.57 and 157,158.58

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Solution

The fourth proportional to 232,508.02, 320,958.57 and 157,158.58 is: 216,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,508.02 : 320,958.57 = 157,158.58 : x
  2. Step 2: Convert to fraction form
    232,508.02/320,958.57 = 157,158.58/x
  3. Step 3: Cross multiply
    232,508.02x = 320,958.57 × 157,158.58
  4. Step 4: Simplify right side
    232,508.02x = 50,441,393,100.03
  5. Step 5: Solve for x
    x = 50,441,393,100.03/232,508.02
  6. Step 6: Final answer
    x = 216,944.74

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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.