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Finding the Fourth Proportional to 203,702.25, 305,561.66 and 97,031.37

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Solution

The fourth proportional to 203,702.25, 305,561.66 and 97,031.37 is: 145,551.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,702.25 : 305,561.66 = 97,031.37 : x
  2. Step 2: Convert to fraction form
    203,702.25/305,561.66 = 97,031.37/x
  3. Step 3: Cross multiply
    203,702.25x = 305,561.66 × 97,031.37
  4. Step 4: Simplify right side
    203,702.25x = 29,649,066,489.27
  5. Step 5: Solve for x
    x = 29,649,066,489.27/203,702.25
  6. Step 6: Final answer
    x = 145,551.00

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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.