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Finding the Fourth Proportional to 280,005.24, 419,876.50 and 102,388.05

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Solution

The fourth proportional to 280,005.24, 419,876.50 and 102,388.05 is: 153,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,005.24 : 419,876.50 = 102,388.05 : x
  2. Step 2: Convert to fraction form
    280,005.24/419,876.50 = 102,388.05/x
  3. Step 3: Cross multiply
    280,005.24x = 419,876.50 × 102,388.05
  4. Step 4: Simplify right side
    280,005.24x = 42,990,336,075.83
  5. Step 5: Solve for x
    x = 42,990,336,075.83/280,005.24
  6. Step 6: Final answer
    x = 153,534.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.