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Finding the Fourth Proportional to 548,121.70, 822,182.55 and 148,824.10

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Solution

The fourth proportional to 548,121.70, 822,182.55 and 148,824.10 is: 223,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,121.70 : 822,182.55 = 148,824.10 : x
  2. Step 2: Convert to fraction form
    548,121.70/822,182.55 = 148,824.10/x
  3. Step 3: Cross multiply
    548,121.70x = 822,182.55 × 148,824.10
  4. Step 4: Simplify right side
    548,121.70x = 122,360,578,039.46
  5. Step 5: Solve for x
    x = 122,360,578,039.46/548,121.70
  6. Step 6: Final answer
    x = 223,236.15

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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.