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Finding the Fourth Proportional to 102,970.44, 154,452.42 and 46,769.40

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Solution

The fourth proportional to 102,970.44, 154,452.42 and 46,769.40 is: 70,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,970.44 : 154,452.42 = 46,769.40 : x
  2. Step 2: Convert to fraction form
    102,970.44/154,452.42 = 46,769.40/x
  3. Step 3: Cross multiply
    102,970.44x = 154,452.42 × 46,769.40
  4. Step 4: Simplify right side
    102,970.44x = 7,223,647,011.95
  5. Step 5: Solve for x
    x = 7,223,647,011.95/102,970.44
  6. Step 6: Final answer
    x = 70,152.63

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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.