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Finding the Fourth Proportional to 507,833.75, 761,796.80 and 133,856.75

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Solution

The fourth proportional to 507,833.75, 761,796.80 and 133,856.75 is: 200,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,833.75 : 761,796.80 = 133,856.75 : x
  2. Step 2: Convert to fraction form
    507,833.75/761,796.80 = 133,856.75/x
  3. Step 3: Cross multiply
    507,833.75x = 761,796.80 × 133,856.75
  4. Step 4: Simplify right side
    507,833.75x = 101,971,643,808.40
  5. Step 5: Solve for x
    x = 101,971,643,808.40/507,833.75
  6. Step 6: Final answer
    x = 200,797.30

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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.