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Finding the Fourth Proportional to 193,075.20, 289,267.20 and 165,427.20

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Solution

The fourth proportional to 193,075.20, 289,267.20 and 165,427.20 is: 247,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,075.20 : 289,267.20 = 165,427.20 : x
  2. Step 2: Convert to fraction form
    193,075.20/289,267.20 = 165,427.20/x
  3. Step 3: Cross multiply
    193,075.20x = 289,267.20 × 165,427.20
  4. Step 4: Simplify right side
    193,075.20x = 47,852,662,947.84
  5. Step 5: Solve for x
    x = 47,852,662,947.84/193,075.20
  6. Step 6: Final answer
    x = 247,844.69

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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.