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Finding the Fourth Proportional to 548,138.61, 822,207.50 and 148,837.98

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Solution

The fourth proportional to 548,138.61, 822,207.50 and 148,837.98 is: 223,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,138.61 : 822,207.50 = 148,837.98 : x
  2. Step 2: Convert to fraction form
    548,138.61/822,207.50 = 148,837.98/x
  3. Step 3: Cross multiply
    548,138.61x = 822,207.50 × 148,837.98
  4. Step 4: Simplify right side
    548,138.61x = 122,375,702,696.66
  5. Step 5: Solve for x
    x = 122,375,702,696.66/548,138.61
  6. Step 6: Final answer
    x = 223,256.86

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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.