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Finding the Fourth Proportional to 233,033.40, 349,319.70 and 92,604.60

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Solution

The fourth proportional to 233,033.40, 349,319.70 and 92,604.60 is: 138,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,033.40 : 349,319.70 = 92,604.60 : x
  2. Step 2: Convert to fraction form
    233,033.40/349,319.70 = 92,604.60/x
  3. Step 3: Cross multiply
    233,033.40x = 349,319.70 × 92,604.60
  4. Step 4: Simplify right side
    233,033.40x = 32,348,611,090.62
  5. Step 5: Solve for x
    x = 32,348,611,090.62/233,033.40
  6. Step 6: Final answer
    x = 138,815.34

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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.