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Finding the Fourth Proportional to 164,013.90, 246,020.85 and 53,205.90

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Solution

The fourth proportional to 164,013.90, 246,020.85 and 53,205.90 is: 79,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,013.90 : 246,020.85 = 53,205.90 : x
  2. Step 2: Convert to fraction form
    164,013.90/246,020.85 = 53,205.90/x
  3. Step 3: Cross multiply
    164,013.90x = 246,020.85 × 53,205.90
  4. Step 4: Simplify right side
    164,013.90x = 13,089,760,743.02
  5. Step 5: Solve for x
    x = 13,089,760,743.02/164,013.90
  6. Step 6: Final answer
    x = 79,808.85

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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.