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Finding the Fourth Proportional to 224,631.19, 336,648.70 and 119,223.19

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Solution

The fourth proportional to 224,631.19, 336,648.70 and 119,223.19 is: 178,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,631.19 : 336,648.70 = 119,223.19 : x
  2. Step 2: Convert to fraction form
    224,631.19/336,648.70 = 119,223.19/x
  3. Step 3: Cross multiply
    224,631.19x = 336,648.70 × 119,223.19
  4. Step 4: Simplify right side
    224,631.19x = 40,136,331,923.35
  5. Step 5: Solve for x
    x = 40,136,331,923.35/224,631.19
  6. Step 6: Final answer
    x = 178,676.58

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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.