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Finding the Fourth Proportional to 196,496.64, 294,496.80 and 84,043.20

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Solution

The fourth proportional to 196,496.64, 294,496.80 and 84,043.20 is: 125,958.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,496.64 : 294,496.80 = 84,043.20 : x
  2. Step 2: Convert to fraction form
    196,496.64/294,496.80 = 84,043.20/x
  3. Step 3: Cross multiply
    196,496.64x = 294,496.80 × 84,043.20
  4. Step 4: Simplify right side
    196,496.64x = 24,750,453,461.76
  5. Step 5: Solve for x
    x = 24,750,453,461.76/196,496.64
  6. Step 6: Final answer
    x = 125,958.66

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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.