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Finding the Fourth Proportional to 164,032.80, 246,049.20 and 53,224.80

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Solution

The fourth proportional to 164,032.80, 246,049.20 and 53,224.80 is: 79,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,032.80 : 246,049.20 = 53,224.80 : x
  2. Step 2: Convert to fraction form
    164,032.80/246,049.20 = 53,224.80/x
  3. Step 3: Cross multiply
    164,032.80x = 246,049.20 × 53,224.80
  4. Step 4: Simplify right side
    164,032.80x = 13,095,919,460.16
  5. Step 5: Solve for x
    x = 13,095,919,460.16/164,032.80
  6. Step 6: Final answer
    x = 79,837.20

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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.