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Finding the Fourth Proportional to 196,026, 270,516.84 and 106,602

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Solution

The fourth proportional to 196,026, 270,516.84 and 106,602 is: 147,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,026 : 270,516.84 = 106,602 : x
  2. Step 2: Convert to fraction form
    196,026/270,516.84 = 106,602/x
  3. Step 3: Cross multiply
    196,026x = 270,516.84 × 106,602
  4. Step 4: Simplify right side
    196,026x = 28,837,636,177.68
  5. Step 5: Solve for x
    x = 28,837,636,177.68/196,026
  6. Step 6: Final answer
    x = 147,111.28

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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.