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Finding the Fourth Proportional to 310,924.51, 466,220.61 and 111,135.88

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Solution

The fourth proportional to 310,924.51, 466,220.61 and 111,135.88 is: 166,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,924.51 : 466,220.61 = 111,135.88 : x
  2. Step 2: Convert to fraction form
    310,924.51/466,220.61 = 111,135.88/x
  3. Step 3: Cross multiply
    310,924.51x = 466,220.61 × 111,135.88
  4. Step 4: Simplify right side
    310,924.51x = 51,813,837,766.49
  5. Step 5: Solve for x
    x = 51,813,837,766.49/310,924.51
  6. Step 6: Final answer
    x = 166,644.43

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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.