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Finding the Fourth Proportional to 299,643.52, 449,154.24 and 141,751.84

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Solution

The fourth proportional to 299,643.52, 449,154.24 and 141,751.84 is: 212,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,643.52 : 449,154.24 = 141,751.84 : x
  2. Step 2: Convert to fraction form
    299,643.52/449,154.24 = 141,751.84/x
  3. Step 3: Cross multiply
    299,643.52x = 449,154.24 × 141,751.84
  4. Step 4: Simplify right side
    299,643.52x = 63,668,439,963.80
  5. Step 5: Solve for x
    x = 63,668,439,963.80/299,643.52
  6. Step 6: Final answer
    x = 212,480.62

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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.