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Finding the Fourth Proportional to 196,658.96, 271,389.48 and 111,776

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Solution

The fourth proportional to 196,658.96, 271,389.48 and 111,776 is: 154,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,658.96 : 271,389.48 = 111,776 : x
  2. Step 2: Convert to fraction form
    196,658.96/271,389.48 = 111,776/x
  3. Step 3: Cross multiply
    196,658.96x = 271,389.48 × 111,776
  4. Step 4: Simplify right side
    196,658.96x = 30,334,830,516.48
  5. Step 5: Solve for x
    x = 30,334,830,516.48/196,658.96
  6. Step 6: Final answer
    x = 154,250.95

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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.