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Finding the Fourth Proportional to 133,444.44, 200,225.25 and 50,319

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Solution

The fourth proportional to 133,444.44, 200,225.25 and 50,319 is: 75,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,444.44 : 200,225.25 = 50,319 : x
  2. Step 2: Convert to fraction form
    133,444.44/200,225.25 = 50,319/x
  3. Step 3: Cross multiply
    133,444.44x = 200,225.25 × 50,319
  4. Step 4: Simplify right side
    133,444.44x = 10,075,134,354.75
  5. Step 5: Solve for x
    x = 10,075,134,354.75/133,444.44
  6. Step 6: Final answer
    x = 75,500.59

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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.