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Finding the Fourth Proportional to 200,947.20, 301,420.80 and 53,203.20

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Solution

The fourth proportional to 200,947.20, 301,420.80 and 53,203.20 is: 79,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,947.20 : 301,420.80 = 53,203.20 : x
  2. Step 2: Convert to fraction form
    200,947.20/301,420.80 = 53,203.20/x
  3. Step 3: Cross multiply
    200,947.20x = 301,420.80 × 53,203.20
  4. Step 4: Simplify right side
    200,947.20x = 16,036,551,106.56
  5. Step 5: Solve for x
    x = 16,036,551,106.56/200,947.20
  6. Step 6: Final answer
    x = 79,804.80

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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.