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Finding the Fourth Proportional to 196,656.60, 295,057.80 and 78,412.80

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Solution

The fourth proportional to 196,656.60, 295,057.80 and 78,412.80 is: 117,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,656.60 : 295,057.80 = 78,412.80 : x
  2. Step 2: Convert to fraction form
    196,656.60/295,057.80 = 78,412.80/x
  3. Step 3: Cross multiply
    196,656.60x = 295,057.80 × 78,412.80
  4. Step 4: Simplify right side
    196,656.60x = 23,136,308,259.84
  5. Step 5: Solve for x
    x = 23,136,308,259.84/196,656.60
  6. Step 6: Final answer
    x = 117,648.27

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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.