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Finding the Fourth Proportional to 147,055.40, 220,583.10 and 133,058.60

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Solution

The fourth proportional to 147,055.40, 220,583.10 and 133,058.60 is: 199,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,055.40 : 220,583.10 = 133,058.60 : x
  2. Step 2: Convert to fraction form
    147,055.40/220,583.10 = 133,058.60/x
  3. Step 3: Cross multiply
    147,055.40x = 220,583.10 × 133,058.60
  4. Step 4: Simplify right side
    147,055.40x = 29,350,478,469.66
  5. Step 5: Solve for x
    x = 29,350,478,469.66/147,055.40
  6. Step 6: Final answer
    x = 199,587.90

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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.