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Finding the Fourth Proportional to 230,532.16, 318,143.28 and 129,928

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Solution

The fourth proportional to 230,532.16, 318,143.28 and 129,928 is: 179,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,532.16 : 318,143.28 = 129,928 : x
  2. Step 2: Convert to fraction form
    230,532.16/318,143.28 = 129,928/x
  3. Step 3: Cross multiply
    230,532.16x = 318,143.28 × 129,928
  4. Step 4: Simplify right side
    230,532.16x = 41,335,720,083.84
  5. Step 5: Solve for x
    x = 41,335,720,083.84/230,532.16
  6. Step 6: Final answer
    x = 179,305.66

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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.