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Finding the Fourth Proportional to 213,807.33, 320,704.38 and 101,568.33

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Solution

The fourth proportional to 213,807.33, 320,704.38 and 101,568.33 is: 152,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,807.33 : 320,704.38 = 101,568.33 : x
  2. Step 2: Convert to fraction form
    213,807.33/320,704.38 = 101,568.33/x
  3. Step 3: Cross multiply
    213,807.33x = 320,704.38 × 101,568.33
  4. Step 4: Simplify right side
    213,807.33x = 32,573,408,300.29
  5. Step 5: Solve for x
    x = 32,573,408,300.29/213,807.33
  6. Step 6: Final answer
    x = 152,349.35

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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.