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Finding the Fourth Proportional to 232,223.22, 349,122.24 and 185,436

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Solution

The fourth proportional to 232,223.22, 349,122.24 and 185,436 is: 278,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,223.22 : 349,122.24 = 185,436 : x
  2. Step 2: Convert to fraction form
    232,223.22/349,122.24 = 185,436/x
  3. Step 3: Cross multiply
    232,223.22x = 349,122.24 × 185,436
  4. Step 4: Simplify right side
    232,223.22x = 64,739,831,696.64
  5. Step 5: Solve for x
    x = 64,739,831,696.64/232,223.22
  6. Step 6: Final answer
    x = 278,782.77

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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.