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Finding the Fourth Proportional to 196,248, 270,822.24 and 106,824

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Solution

The fourth proportional to 196,248, 270,822.24 and 106,824 is: 147,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,248 : 270,822.24 = 106,824 : x
  2. Step 2: Convert to fraction form
    196,248/270,822.24 = 106,824/x
  3. Step 3: Cross multiply
    196,248x = 270,822.24 × 106,824
  4. Step 4: Simplify right side
    196,248x = 28,930,314,965.76
  5. Step 5: Solve for x
    x = 28,930,314,965.76/196,248
  6. Step 6: Final answer
    x = 147,417.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.