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Finding the Fourth Proportional to 196,705.80, 295,058.48 and 78,460.20

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Solution

The fourth proportional to 196,705.80, 295,058.48 and 78,460.20 is: 117,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,705.80 : 295,058.48 = 78,460.20 : x
  2. Step 2: Convert to fraction form
    196,705.80/295,058.48 = 78,460.20/x
  3. Step 3: Cross multiply
    196,705.80x = 295,058.48 × 78,460.20
  4. Step 4: Simplify right side
    196,705.80x = 23,150,347,352.50
  5. Step 5: Solve for x
    x = 23,150,347,352.50/196,705.80
  6. Step 6: Final answer
    x = 117,690.21

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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.