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Finding the Fourth Proportional to 548,034.12, 821,954.28 and 148,706.01

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Solution

The fourth proportional to 548,034.12, 821,954.28 and 148,706.01 is: 223,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,034.12 : 821,954.28 = 148,706.01 : x
  2. Step 2: Convert to fraction form
    548,034.12/821,954.28 = 148,706.01/x
  3. Step 3: Cross multiply
    548,034.12x = 821,954.28 × 148,706.01
  4. Step 4: Simplify right side
    548,034.12x = 122,229,541,381.22
  5. Step 5: Solve for x
    x = 122,229,541,381.22/548,034.12
  6. Step 6: Final answer
    x = 223,032.72

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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.