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Finding the Fourth Proportional to 156,904, 235,356 and 46,096

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Solution

The fourth proportional to 156,904, 235,356 and 46,096 is: 69,144

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,904 : 235,356 = 46,096 : x
  2. Step 2: Convert to fraction form
    156,904/235,356 = 46,096/x
  3. Step 3: Cross multiply
    156,904x = 235,356 × 46,096
  4. Step 4: Simplify right side
    156,904x = 10,848,970,176
  5. Step 5: Solve for x
    x = 10,848,970,176/156,904
  6. Step 6: Final answer
    x = 69,144

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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.