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Finding the Fourth Proportional to 151,804, 227,706 and 40,996

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Solution

The fourth proportional to 151,804, 227,706 and 40,996 is: 61,494

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,804 : 227,706 = 40,996 : x
  2. Step 2: Convert to fraction form
    151,804/227,706 = 40,996/x
  3. Step 3: Cross multiply
    151,804x = 227,706 × 40,996
  4. Step 4: Simplify right side
    151,804x = 9,335,035,176
  5. Step 5: Solve for x
    x = 9,335,035,176/151,804
  6. Step 6: Final answer
    x = 61,494

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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.