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Finding the Fourth Proportional to 262,379.66, 362,019.78 and 147,636

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Solution

The fourth proportional to 262,379.66, 362,019.78 and 147,636 is: 203,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,379.66 : 362,019.78 = 147,636 : x
  2. Step 2: Convert to fraction form
    262,379.66/362,019.78 = 147,636/x
  3. Step 3: Cross multiply
    262,379.66x = 362,019.78 × 147,636
  4. Step 4: Simplify right side
    262,379.66x = 53,447,152,240.08
  5. Step 5: Solve for x
    x = 53,447,152,240.08/262,379.66
  6. Step 6: Final answer
    x = 203,701.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.