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Finding the Fourth Proportional to 101,783.06, 152,518.90 and 54,404.90

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Solution

The fourth proportional to 101,783.06, 152,518.90 and 54,404.90 is: 81,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,783.06 : 152,518.90 = 54,404.90 : x
  2. Step 2: Convert to fraction form
    101,783.06/152,518.90 = 54,404.90/x
  3. Step 3: Cross multiply
    101,783.06x = 152,518.90 × 54,404.90
  4. Step 4: Simplify right side
    101,783.06x = 8,297,774,604.00
  5. Step 5: Solve for x
    x = 8,297,774,604.00/101,783.06
  6. Step 6: Final answer
    x = 81,524.12

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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.