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Finding the Fourth Proportional to 196,034, 270,526.92 and 106,610

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Solution

The fourth proportional to 196,034, 270,526.92 and 106,610 is: 147,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,034 : 270,526.92 = 106,610 : x
  2. Step 2: Convert to fraction form
    196,034/270,526.92 = 106,610/x
  3. Step 3: Cross multiply
    196,034x = 270,526.92 × 106,610
  4. Step 4: Simplify right side
    196,034x = 28,840,874,941.20
  5. Step 5: Solve for x
    x = 28,840,874,941.20/196,034
  6. Step 6: Final answer
    x = 147,121.80

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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.