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Finding the Fourth Proportional to 280,111.95, 419,914.85 and 102,495.15

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Solution

The fourth proportional to 280,111.95, 419,914.85 and 102,495.15 is: 153,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,111.95 : 419,914.85 = 102,495.15 : x
  2. Step 2: Convert to fraction form
    280,111.95/419,914.85 = 102,495.15/x
  3. Step 3: Cross multiply
    280,111.95x = 419,914.85 × 102,495.15
  4. Step 4: Simplify right side
    280,111.95x = 43,039,235,025.50
  5. Step 5: Solve for x
    x = 43,039,235,025.50/280,111.95
  6. Step 6: Final answer
    x = 153,650.12

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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.