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Finding the Fourth Proportional to 100,412.70, 150,532.65 and 51,164.70

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Solution

The fourth proportional to 100,412.70, 150,532.65 and 51,164.70 is: 76,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,412.70 : 150,532.65 = 51,164.70 : x
  2. Step 2: Convert to fraction form
    100,412.70/150,532.65 = 51,164.70/x
  3. Step 3: Cross multiply
    100,412.70x = 150,532.65 × 51,164.70
  4. Step 4: Simplify right side
    100,412.70x = 7,701,957,877.46
  5. Step 5: Solve for x
    x = 7,701,957,877.46/100,412.70
  6. Step 6: Final answer
    x = 76,703.03

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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.