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Finding the Fourth Proportional to 100,112.84, 150,169.14 and 46,072.08

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Solution

The fourth proportional to 100,112.84, 150,169.14 and 46,072.08 is: 69,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,112.84 : 150,169.14 = 46,072.08 : x
  2. Step 2: Convert to fraction form
    100,112.84/150,169.14 = 46,072.08/x
  3. Step 3: Cross multiply
    100,112.84x = 150,169.14 × 46,072.08
  4. Step 4: Simplify right side
    100,112.84x = 6,918,604,631.61
  5. Step 5: Solve for x
    x = 6,918,604,631.61/100,112.84
  6. Step 6: Final answer
    x = 69,108.06

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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.