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Finding the Fourth Proportional to 100,476.90, 150,740.64 and 70,952.40

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Solution

The fourth proportional to 100,476.90, 150,740.64 and 70,952.40 is: 106,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,476.90 : 150,740.64 = 70,952.40 : x
  2. Step 2: Convert to fraction form
    100,476.90/150,740.64 = 70,952.40/x
  3. Step 3: Cross multiply
    100,476.90x = 150,740.64 × 70,952.40
  4. Step 4: Simplify right side
    100,476.90x = 10,695,410,185.54
  5. Step 5: Solve for x
    x = 10,695,410,185.54/100,476.90
  6. Step 6: Final answer
    x = 106,446.46

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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.