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Finding the Fourth Proportional to 182,806, 274,084.02 and 97,429.72

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Solution

The fourth proportional to 182,806, 274,084.02 and 97,429.72 is: 146,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,806 : 274,084.02 = 97,429.72 : x
  2. Step 2: Convert to fraction form
    182,806/274,084.02 = 97,429.72/x
  3. Step 3: Cross multiply
    182,806x = 274,084.02 × 97,429.72
  4. Step 4: Simplify right side
    182,806x = 26,703,929,325.07
  5. Step 5: Solve for x
    x = 26,703,929,325.07/182,806
  6. Step 6: Final answer
    x = 146,077.97

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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.