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Finding the Fourth Proportional to 150,294.75, 225,476.69 and 51,798.75

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Solution

The fourth proportional to 150,294.75, 225,476.69 and 51,798.75 is: 77,710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,294.75 : 225,476.69 = 51,798.75 : x
  2. Step 2: Convert to fraction form
    150,294.75/225,476.69 = 51,798.75/x
  3. Step 3: Cross multiply
    150,294.75x = 225,476.69 × 51,798.75
  4. Step 4: Simplify right side
    150,294.75x = 11,679,410,437.14
  5. Step 5: Solve for x
    x = 11,679,410,437.14/150,294.75
  6. Step 6: Final answer
    x = 77,710.04

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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.