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Finding the Fourth Proportional to 196,253, 270,829.14 and 106,829

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Solution

The fourth proportional to 196,253, 270,829.14 and 106,829 is: 147,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,253 : 270,829.14 = 106,829 : x
  2. Step 2: Convert to fraction form
    196,253/270,829.14 = 106,829/x
  3. Step 3: Cross multiply
    196,253x = 270,829.14 × 106,829
  4. Step 4: Simplify right side
    196,253x = 28,932,406,197.06
  5. Step 5: Solve for x
    x = 28,932,406,197.06/196,253
  6. Step 6: Final answer
    x = 147,424.02

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