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Finding the Fourth Proportional to 214,142, 321,232.80 and 56,371.28

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Solution

The fourth proportional to 214,142, 321,232.80 and 56,371.28 is: 84,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,142 : 321,232.80 = 56,371.28 : x
  2. Step 2: Convert to fraction form
    214,142/321,232.80 = 56,371.28/x
  3. Step 3: Cross multiply
    214,142x = 321,232.80 × 56,371.28
  4. Step 4: Simplify right side
    214,142x = 18,108,304,113.98
  5. Step 5: Solve for x
    x = 18,108,304,113.98/214,142
  6. Step 6: Final answer
    x = 84,562.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.