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Finding the Fourth Proportional to 383,169, 575,017.56 and 133,851

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Solution

The fourth proportional to 383,169, 575,017.56 and 133,851 is: 200,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,169 : 575,017.56 = 133,851 : x
  2. Step 2: Convert to fraction form
    383,169/575,017.56 = 133,851/x
  3. Step 3: Cross multiply
    383,169x = 575,017.56 × 133,851
  4. Step 4: Simplify right side
    383,169x = 76,966,675,423.56
  5. Step 5: Solve for x
    x = 76,966,675,423.56/383,169
  6. Step 6: Final answer
    x = 200,868.74

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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.