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Finding the Fourth Proportional to 100,054.56, 149,915.24 and 70,410.12

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Solution

The fourth proportional to 100,054.56, 149,915.24 and 70,410.12 is: 105,497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,054.56 : 149,915.24 = 70,410.12 : x
  2. Step 2: Convert to fraction form
    100,054.56/149,915.24 = 70,410.12/x
  3. Step 3: Cross multiply
    100,054.56x = 149,915.24 × 70,410.12
  4. Step 4: Simplify right side
    100,054.56x = 10,555,550,038.23
  5. Step 5: Solve for x
    x = 10,555,550,038.23/100,054.56
  6. Step 6: Final answer
    x = 105,497.94

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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.