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Finding the Fourth Proportional to 182,805, 274,082.52 and 97,428.72

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Solution

The fourth proportional to 182,805, 274,082.52 and 97,428.72 is: 146,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,805 : 274,082.52 = 97,428.72 : x
  2. Step 2: Convert to fraction form
    182,805/274,082.52 = 97,428.72/x
  3. Step 3: Cross multiply
    182,805x = 274,082.52 × 97,428.72
  4. Step 4: Simplify right side
    182,805x = 26,703,509,097.97
  5. Step 5: Solve for x
    x = 26,703,509,097.97/182,805
  6. Step 6: Final answer
    x = 146,076.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.