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Finding the Fourth Proportional to 101,450.29, 152,050.80 and 56,983.57

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Solution

The fourth proportional to 101,450.29, 152,050.80 and 56,983.57 is: 85,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,450.29 : 152,050.80 = 56,983.57 : x
  2. Step 2: Convert to fraction form
    101,450.29/152,050.80 = 56,983.57/x
  3. Step 3: Cross multiply
    101,450.29x = 152,050.80 × 56,983.57
  4. Step 4: Simplify right side
    101,450.29x = 8,664,397,405.36
  5. Step 5: Solve for x
    x = 8,664,397,405.36/101,450.29
  6. Step 6: Final answer
    x = 85,405.35

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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.