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Finding the Fourth Proportional to 189,561.84, 261,595.44 and 103,522

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Solution

The fourth proportional to 189,561.84, 261,595.44 and 103,522 is: 142,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,561.84 : 261,595.44 = 103,522 : x
  2. Step 2: Convert to fraction form
    189,561.84/261,595.44 = 103,522/x
  3. Step 3: Cross multiply
    189,561.84x = 261,595.44 × 103,522
  4. Step 4: Simplify right side
    189,561.84x = 27,080,883,139.68
  5. Step 5: Solve for x
    x = 27,080,883,139.68/189,561.84
  6. Step 6: Final answer
    x = 142,860.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.