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Finding the Fourth Proportional to 193,075.80, 289,224.90 and 133,978.20

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Solution

The fourth proportional to 193,075.80, 289,224.90 and 133,978.20 is: 200,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,075.80 : 289,224.90 = 133,978.20 : x
  2. Step 2: Convert to fraction form
    193,075.80/289,224.90 = 133,978.20/x
  3. Step 3: Cross multiply
    193,075.80x = 289,224.90 × 133,978.20
  4. Step 4: Simplify right side
    193,075.80x = 38,749,831,497.18
  5. Step 5: Solve for x
    x = 38,749,831,497.18/193,075.80
  6. Step 6: Final answer
    x = 200,697.51

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1.5x scale

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.