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Finding the Fourth Proportional to 274,196.34, 411,176.86 and 94,299.86

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Solution

The fourth proportional to 274,196.34, 411,176.86 and 94,299.86 is: 141,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,196.34 : 411,176.86 = 94,299.86 : x
  2. Step 2: Convert to fraction form
    274,196.34/411,176.86 = 94,299.86/x
  3. Step 3: Cross multiply
    274,196.34x = 411,176.86 × 94,299.86
  4. Step 4: Simplify right side
    274,196.34x = 38,773,921,125.43
  5. Step 5: Solve for x
    x = 38,773,921,125.43/274,196.34
  6. Step 6: Final answer
    x = 141,409.33

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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.