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Finding the Fourth Proportional to 273,856.10, 410,784.15 and 161,590.10

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Solution

The fourth proportional to 273,856.10, 410,784.15 and 161,590.10 is: 242,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,856.10 : 410,784.15 = 161,590.10 : x
  2. Step 2: Convert to fraction form
    273,856.10/410,784.15 = 161,590.10/x
  3. Step 3: Cross multiply
    273,856.10x = 410,784.15 × 161,590.10
  4. Step 4: Simplify right side
    273,856.10x = 66,378,651,876.92
  5. Step 5: Solve for x
    x = 66,378,651,876.92/273,856.10
  6. Step 6: Final answer
    x = 242,385.15

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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.