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Finding the Fourth Proportional to 232,008.40, 320,156.44 and 136,496.64

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Solution

The fourth proportional to 232,008.40, 320,156.44 and 136,496.64 is: 188,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,008.40 : 320,156.44 = 136,496.64 : x
  2. Step 2: Convert to fraction form
    232,008.40/320,156.44 = 136,496.64/x
  3. Step 3: Cross multiply
    232,008.40x = 320,156.44 × 136,496.64
  4. Step 4: Simplify right side
    232,008.40x = 43,700,278,334.36
  5. Step 5: Solve for x
    x = 43,700,278,334.36/232,008.40
  6. Step 6: Final answer
    x = 188,356.45

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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.