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Finding the Fourth Proportional to 224,294.86, 336,427.71 and 119,173.06

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Solution

The fourth proportional to 224,294.86, 336,427.71 and 119,173.06 is: 178,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,294.86 : 336,427.71 = 119,173.06 : x
  2. Step 2: Convert to fraction form
    224,294.86/336,427.71 = 119,173.06/x
  3. Step 3: Cross multiply
    224,294.86x = 336,427.71 × 119,173.06
  4. Step 4: Simplify right side
    224,294.86x = 40,093,119,669.49
  5. Step 5: Solve for x
    x = 40,093,119,669.49/224,294.86
  6. Step 6: Final answer
    x = 178,751.84

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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.