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Finding the Fourth Proportional to 196,296.10, 294,223.40 and 99,963

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Solution

The fourth proportional to 196,296.10, 294,223.40 and 99,963 is: 149,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,296.10 : 294,223.40 = 99,963 : x
  2. Step 2: Convert to fraction form
    196,296.10/294,223.40 = 99,963/x
  3. Step 3: Cross multiply
    196,296.10x = 294,223.40 × 99,963
  4. Step 4: Simplify right side
    196,296.10x = 29,411,453,734.20
  5. Step 5: Solve for x
    x = 29,411,453,734.20/196,296.10
  6. Step 6: Final answer
    x = 149,832.08

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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.