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Finding the Fourth Proportional to 159,681.78, 239,544.54 and 54,472.50

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Solution

The fourth proportional to 159,681.78, 239,544.54 and 54,472.50 is: 81,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,681.78 : 239,544.54 = 54,472.50 : x
  2. Step 2: Convert to fraction form
    159,681.78/239,544.54 = 54,472.50/x
  3. Step 3: Cross multiply
    159,681.78x = 239,544.54 × 54,472.50
  4. Step 4: Simplify right side
    159,681.78x = 13,048,589,955.15
  5. Step 5: Solve for x
    x = 13,048,589,955.15/159,681.78
  6. Step 6: Final answer
    x = 81,716.21

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Why These Related Problems?

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