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Finding the Fourth Proportional to 232,090.40, 320,223.54 and 133,949.24

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Solution

The fourth proportional to 232,090.40, 320,223.54 and 133,949.24 is: 184,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,090.40 : 320,223.54 = 133,949.24 : x
  2. Step 2: Convert to fraction form
    232,090.40/320,223.54 = 133,949.24/x
  3. Step 3: Cross multiply
    232,090.40x = 320,223.54 × 133,949.24
  4. Step 4: Simplify right side
    232,090.40x = 42,893,699,813.11
  5. Step 5: Solve for x
    x = 42,893,699,813.11/232,090.40
  6. Step 6: Final answer
    x = 184,814.62

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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.