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Finding the Fourth Proportional to 189,458.38, 261,452.58 and 104,575.46

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Solution

The fourth proportional to 189,458.38, 261,452.58 and 104,575.46 is: 144,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,458.38 : 261,452.58 = 104,575.46 : x
  2. Step 2: Convert to fraction form
    189,458.38/261,452.58 = 104,575.46/x
  3. Step 3: Cross multiply
    189,458.38x = 261,452.58 × 104,575.46
  4. Step 4: Simplify right side
    189,458.38x = 27,341,523,821.69
  5. Step 5: Solve for x
    x = 27,341,523,821.69/189,458.38
  6. Step 6: Final answer
    x = 144,314.14

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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.