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Finding the Fourth Proportional to 100,040.76, 149,895 and 70,396.38

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Solution

The fourth proportional to 100,040.76, 149,895 and 70,396.38 is: 105,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,040.76 : 149,895 = 70,396.38 : x
  2. Step 2: Convert to fraction form
    100,040.76/149,895 = 70,396.38/x
  3. Step 3: Cross multiply
    100,040.76x = 149,895 × 70,396.38
  4. Step 4: Simplify right side
    100,040.76x = 10,552,065,380.10
  5. Step 5: Solve for x
    x = 10,552,065,380.10/100,040.76
  6. Step 6: Final answer
    x = 105,477.66

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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.