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Finding the Fourth Proportional to 196,858.60, 295,287.90 and 78,548.20

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Solution

The fourth proportional to 196,858.60, 295,287.90 and 78,548.20 is: 117,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,858.60 : 295,287.90 = 78,548.20 : x
  2. Step 2: Convert to fraction form
    196,858.60/295,287.90 = 78,548.20/x
  3. Step 3: Cross multiply
    196,858.60x = 295,287.90 × 78,548.20
  4. Step 4: Simplify right side
    196,858.60x = 23,194,333,026.78
  5. Step 5: Solve for x
    x = 23,194,333,026.78/196,858.60
  6. Step 6: Final answer
    x = 117,822.30

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1.5x scale

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.