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Finding the Fourth Proportional to 152,638.50, 210,633.78 and 84,650.10

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Solution

The fourth proportional to 152,638.50, 210,633.78 and 84,650.10 is: 116,813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,638.50 : 210,633.78 = 84,650.10 : x
  2. Step 2: Convert to fraction form
    152,638.50/210,633.78 = 84,650.10/x
  3. Step 3: Cross multiply
    152,638.50x = 210,633.78 × 84,650.10
  4. Step 4: Simplify right side
    152,638.50x = 17,830,170,540.38
  5. Step 5: Solve for x
    x = 17,830,170,540.38/152,638.50
  6. Step 6: Final answer
    x = 116,813.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.