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Finding the Fourth Proportional to 200,047, 300,073.38 and 52,303

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Solution

The fourth proportional to 200,047, 300,073.38 and 52,303 is: 78,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,047 : 300,073.38 = 52,303 : x
  2. Step 2: Convert to fraction form
    200,047/300,073.38 = 52,303/x
  3. Step 3: Cross multiply
    200,047x = 300,073.38 × 52,303
  4. Step 4: Simplify right side
    200,047x = 15,694,737,994.14
  5. Step 5: Solve for x
    x = 15,694,737,994.14/200,047
  6. Step 6: Final answer
    x = 78,455.25

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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.