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Finding the Fourth Proportional to 502,116.44, 753,180.93 and 147,137.72

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Solution

The fourth proportional to 502,116.44, 753,180.93 and 147,137.72 is: 220,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,116.44 : 753,180.93 = 147,137.72 : x
  2. Step 2: Convert to fraction form
    502,116.44/753,180.93 = 147,137.72/x
  3. Step 3: Cross multiply
    502,116.44x = 753,180.93 × 147,137.72
  4. Step 4: Simplify right side
    502,116.44x = 110,821,321,021.78
  5. Step 5: Solve for x
    x = 110,821,321,021.78/502,116.44
  6. Step 6: Final answer
    x = 220,708.41

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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.