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Finding the Fourth Proportional to 232,009.66, 320,199.87 and 130,062.64

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Solution

The fourth proportional to 232,009.66, 320,199.87 and 130,062.64 is: 179,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,009.66 : 320,199.87 = 130,062.64 : x
  2. Step 2: Convert to fraction form
    232,009.66/320,199.87 = 130,062.64/x
  3. Step 3: Cross multiply
    232,009.66x = 320,199.87 × 130,062.64
  4. Step 4: Simplify right side
    232,009.66x = 41,646,040,419.86
  5. Step 5: Solve for x
    x = 41,646,040,419.86/232,009.66
  6. Step 6: Final answer
    x = 179,501.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.