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Finding the Fourth Proportional to 146,048, 219,072.02 and 35,240

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Solution

The fourth proportional to 146,048, 219,072.02 and 35,240 is: 52,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,048 : 219,072.02 = 35,240 : x
  2. Step 2: Convert to fraction form
    146,048/219,072.02 = 35,240/x
  3. Step 3: Cross multiply
    146,048x = 219,072.02 × 35,240
  4. Step 4: Simplify right side
    146,048x = 7,720,097,984.80
  5. Step 5: Solve for x
    x = 7,720,097,984.80/146,048
  6. Step 6: Final answer
    x = 52,860.00

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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.