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Finding the Fourth Proportional to 100,706.24, 150,955.68 and 53,946.56

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Solution

The fourth proportional to 100,706.24, 150,955.68 and 53,946.56 is: 80,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,706.24 : 150,955.68 = 53,946.56 : x
  2. Step 2: Convert to fraction form
    100,706.24/150,955.68 = 53,946.56/x
  3. Step 3: Cross multiply
    100,706.24x = 150,955.68 × 53,946.56
  4. Step 4: Simplify right side
    100,706.24x = 8,143,539,648.46
  5. Step 5: Solve for x
    x = 8,143,539,648.46/100,706.24
  6. Step 6: Final answer
    x = 80,864.30

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1.5x scale

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.