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Finding the Fourth Proportional to 196,702.56, 295,258.77 and 174,355.20

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Solution

The fourth proportional to 196,702.56, 295,258.77 and 174,355.20 is: 261,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,702.56 : 295,258.77 = 174,355.20 : x
  2. Step 2: Convert to fraction form
    196,702.56/295,258.77 = 174,355.20/x
  3. Step 3: Cross multiply
    196,702.56x = 295,258.77 × 174,355.20
  4. Step 4: Simplify right side
    196,702.56x = 51,479,901,895.10
  5. Step 5: Solve for x
    x = 51,479,901,895.10/196,702.56
  6. Step 6: Final answer
    x = 261,714.45

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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.