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Finding the Fourth Proportional to 196,981, 271,834.50 and 107,557

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Solution

The fourth proportional to 196,981, 271,834.50 and 107,557 is: 148,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,981 : 271,834.50 = 107,557 : x
  2. Step 2: Convert to fraction form
    196,981/271,834.50 = 107,557/x
  3. Step 3: Cross multiply
    196,981x = 271,834.50 × 107,557
  4. Step 4: Simplify right side
    196,981x = 29,237,703,316.50
  5. Step 5: Solve for x
    x = 29,237,703,316.50/196,981
  6. Step 6: Final answer
    x = 148,429.05

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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.