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Finding the Fourth Proportional to 142,549.46, 213,871.67 and 47,789

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Solution

The fourth proportional to 142,549.46, 213,871.67 and 47,789 is: 71,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,549.46 : 213,871.67 = 47,789 : x
  2. Step 2: Convert to fraction form
    142,549.46/213,871.67 = 47,789/x
  3. Step 3: Cross multiply
    142,549.46x = 213,871.67 × 47,789
  4. Step 4: Simplify right side
    142,549.46x = 10,220,713,237.63
  5. Step 5: Solve for x
    x = 10,220,713,237.63/142,549.46
  6. Step 6: Final answer
    x = 71,699.42

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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.