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Finding the Fourth Proportional to 232,019.56, 320,294.82 and 174,681.64

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Solution

The fourth proportional to 232,019.56, 320,294.82 and 174,681.64 is: 241,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,019.56 : 320,294.82 = 174,681.64 : x
  2. Step 2: Convert to fraction form
    232,019.56/320,294.82 = 174,681.64/x
  3. Step 3: Cross multiply
    232,019.56x = 320,294.82 × 174,681.64
  4. Step 4: Simplify right side
    232,019.56x = 55,949,624,441.10
  5. Step 5: Solve for x
    x = 55,949,624,441.10/232,019.56
  6. Step 6: Final answer
    x = 241,141.84

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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.