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Finding the Fourth Proportional to 273,646.62, 410,483.76 and 105,107.86

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Solution

The fourth proportional to 273,646.62, 410,483.76 and 105,107.86 is: 157,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,646.62 : 410,483.76 = 105,107.86 : x
  2. Step 2: Convert to fraction form
    273,646.62/410,483.76 = 105,107.86/x
  3. Step 3: Cross multiply
    273,646.62x = 410,483.76 × 105,107.86
  4. Step 4: Simplify right side
    273,646.62x = 43,145,069,578.35
  5. Step 5: Solve for x
    x = 43,145,069,578.35/273,646.62
  6. Step 6: Final answer
    x = 157,667.10

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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.