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Finding the Fourth Proportional to 100,196.88, 150,281.40 and 25,312.41

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Solution

The fourth proportional to 100,196.88, 150,281.40 and 25,312.41 is: 37,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,196.88 : 150,281.40 = 25,312.41 : x
  2. Step 2: Convert to fraction form
    100,196.88/150,281.40 = 25,312.41/x
  3. Step 3: Cross multiply
    100,196.88x = 150,281.40 × 25,312.41
  4. Step 4: Simplify right side
    100,196.88x = 3,803,984,507.10
  5. Step 5: Solve for x
    x = 3,803,984,507.10/100,196.88
  6. Step 6: Final answer
    x = 37,965.10

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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.