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Finding the Fourth Proportional to 103,157.28, 154,037.40 and 81,858.12

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Solution

The fourth proportional to 103,157.28, 154,037.40 and 81,858.12 is: 122,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,157.28 : 154,037.40 = 81,858.12 : x
  2. Step 2: Convert to fraction form
    103,157.28/154,037.40 = 81,858.12/x
  3. Step 3: Cross multiply
    103,157.28x = 154,037.40 × 81,858.12
  4. Step 4: Simplify right side
    103,157.28x = 12,609,211,973.69
  5. Step 5: Solve for x
    x = 12,609,211,973.69/103,157.28
  6. Step 6: Final answer
    x = 122,232.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.