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Finding the Fourth Proportional to 196,032, 270,529.92 and 106,613.76

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Solution

The fourth proportional to 196,032, 270,529.92 and 106,613.76 is: 147,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,032 : 270,529.92 = 106,613.76 : x
  2. Step 2: Convert to fraction form
    196,032/270,529.92 = 106,613.76/x
  3. Step 3: Cross multiply
    196,032x = 270,529.92 × 106,613.76
  4. Step 4: Simplify right side
    196,032x = 28,842,211,963.70
  5. Step 5: Solve for x
    x = 28,842,211,963.70/196,032
  6. Step 6: Final answer
    x = 147,130.12

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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.