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Finding the Fourth Proportional to 196,184, 270,715.20 and 110,123.28

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Solution

The fourth proportional to 196,184, 270,715.20 and 110,123.28 is: 151,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,184 : 270,715.20 = 110,123.28 : x
  2. Step 2: Convert to fraction form
    196,184/270,715.20 = 110,123.28/x
  3. Step 3: Cross multiply
    196,184x = 270,715.20 × 110,123.28
  4. Step 4: Simplify right side
    196,184x = 29,812,045,769.86
  5. Step 5: Solve for x
    x = 29,812,045,769.86/196,184
  6. Step 6: Final answer
    x = 151,959.62

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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.