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Finding the Fourth Proportional to 232,198.64, 320,460.60 and 156,901.04

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Solution

The fourth proportional to 232,198.64, 320,460.60 and 156,901.04 is: 216,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,198.64 : 320,460.60 = 156,901.04 : x
  2. Step 2: Convert to fraction form
    232,198.64/320,460.60 = 156,901.04/x
  3. Step 3: Cross multiply
    232,198.64x = 320,460.60 × 156,901.04
  4. Step 4: Simplify right side
    232,198.64x = 50,280,601,419.02
  5. Step 5: Solve for x
    x = 50,280,601,419.02/232,198.64
  6. Step 6: Final answer
    x = 216,541.33

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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.