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Finding the Fourth Proportional to 289,425.20, 434,137.80 and 194,946.80

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Solution

The fourth proportional to 289,425.20, 434,137.80 and 194,946.80 is: 292,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,425.20 : 434,137.80 = 194,946.80 : x
  2. Step 2: Convert to fraction form
    289,425.20/434,137.80 = 194,946.80/x
  3. Step 3: Cross multiply
    289,425.20x = 434,137.80 × 194,946.80
  4. Step 4: Simplify right side
    289,425.20x = 84,633,774,869.04
  5. Step 5: Solve for x
    x = 84,633,774,869.04/289,425.20
  6. Step 6: Final answer
    x = 292,420.20

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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.