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Finding the Fourth Proportional to 255,871.49, 383,176.49 and 160,865.98

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Solution

The fourth proportional to 255,871.49, 383,176.49 and 160,865.98 is: 240,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,871.49 : 383,176.49 = 160,865.98 : x
  2. Step 2: Convert to fraction form
    255,871.49/383,176.49 = 160,865.98/x
  3. Step 3: Cross multiply
    255,871.49x = 383,176.49 × 160,865.98
  4. Step 4: Simplify right side
    255,871.49x = 61,640,061,576.81
  5. Step 5: Solve for x
    x = 61,640,061,576.81/255,871.49
  6. Step 6: Final answer
    x = 240,902.42

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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.