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Finding the Fourth Proportional to 232,090.32, 320,281.92 and 130,115.28

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Solution

The fourth proportional to 232,090.32, 320,281.92 and 130,115.28 is: 179,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,090.32 : 320,281.92 = 130,115.28 : x
  2. Step 2: Convert to fraction form
    232,090.32/320,281.92 = 130,115.28/x
  3. Step 3: Cross multiply
    232,090.32x = 320,281.92 × 130,115.28
  4. Step 4: Simplify right side
    232,090.32x = 41,673,571,699.74
  5. Step 5: Solve for x
    x = 41,673,571,699.74/232,090.32
  6. Step 6: Final answer
    x = 179,557.56

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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.