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Finding the Fourth Proportional to 334,907.80, 502,378.09 and 135,203.24

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Solution

The fourth proportional to 334,907.80, 502,378.09 and 135,203.24 is: 202,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,907.80 : 502,378.09 = 135,203.24 : x
  2. Step 2: Convert to fraction form
    334,907.80/502,378.09 = 135,203.24/x
  3. Step 3: Cross multiply
    334,907.80x = 502,378.09 × 135,203.24
  4. Step 4: Simplify right side
    334,907.80x = 67,923,146,390.95
  5. Step 5: Solve for x
    x = 67,923,146,390.95/334,907.80
  6. Step 6: Final answer
    x = 202,811.48

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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.