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Finding the Fourth Proportional to 146,893.80, 220,373.10 and 47,058.60

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Solution

The fourth proportional to 146,893.80, 220,373.10 and 47,058.60 is: 70,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,893.80 : 220,373.10 = 47,058.60 : x
  2. Step 2: Convert to fraction form
    146,893.80/220,373.10 = 47,058.60/x
  3. Step 3: Cross multiply
    146,893.80x = 220,373.10 × 47,058.60
  4. Step 4: Simplify right side
    146,893.80x = 10,370,449,563.66
  5. Step 5: Solve for x
    x = 10,370,449,563.66/146,893.80
  6. Step 6: Final answer
    x = 70,598.28

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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.