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Finding the Fourth Proportional to 146,289.42, 201,877.60 and 81,759.70

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Solution

The fourth proportional to 146,289.42, 201,877.60 and 81,759.70 is: 112,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,289.42 : 201,877.60 = 81,759.70 : x
  2. Step 2: Convert to fraction form
    146,289.42/201,877.60 = 81,759.70/x
  3. Step 3: Cross multiply
    146,289.42x = 201,877.60 × 81,759.70
  4. Step 4: Simplify right side
    146,289.42x = 16,505,452,012.72
  5. Step 5: Solve for x
    x = 16,505,452,012.72/146,289.42
  6. Step 6: Final answer
    x = 112,827.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.