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Finding the Fourth Proportional to 548,102.16, 822,153.60 and 148,743

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Solution

The fourth proportional to 548,102.16, 822,153.60 and 148,743 is: 223,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,102.16 : 822,153.60 = 148,743 : x
  2. Step 2: Convert to fraction form
    548,102.16/822,153.60 = 148,743/x
  3. Step 3: Cross multiply
    548,102.16x = 822,153.60 × 148,743
  4. Step 4: Simplify right side
    548,102.16x = 122,289,592,924.80
  5. Step 5: Solve for x
    x = 122,289,592,924.80/548,102.16
  6. Step 6: Final answer
    x = 223,114.60

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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.