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Finding the Fourth Proportional to 152,039.60, 227,982.90 and 46,844.90

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Solution

The fourth proportional to 152,039.60, 227,982.90 and 46,844.90 is: 70,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,039.60 : 227,982.90 = 46,844.90 : x
  2. Step 2: Convert to fraction form
    152,039.60/227,982.90 = 46,844.90/x
  3. Step 3: Cross multiply
    152,039.60x = 227,982.90 × 46,844.90
  4. Step 4: Simplify right side
    152,039.60x = 10,679,836,152.21
  5. Step 5: Solve for x
    x = 10,679,836,152.21/152,039.60
  6. Step 6: Final answer
    x = 70,243.78

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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.