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Finding the Fourth Proportional to 142,564.34, 196,721.53 and 82,154.78

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Solution

The fourth proportional to 142,564.34, 196,721.53 and 82,154.78 is: 113,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,564.34 : 196,721.53 = 82,154.78 : x
  2. Step 2: Convert to fraction form
    142,564.34/196,721.53 = 82,154.78/x
  3. Step 3: Cross multiply
    142,564.34x = 196,721.53 × 82,154.78
  4. Step 4: Simplify right side
    142,564.34x = 16,161,614,018.41
  5. Step 5: Solve for x
    x = 16,161,614,018.41/142,564.34
  6. Step 6: Final answer
    x = 113,363.65

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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.