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Finding the Fourth Proportional to 280,817.04, 421,299.42 and 100,920.64

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Solution

The fourth proportional to 280,817.04, 421,299.42 and 100,920.64 is: 151,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,817.04 : 421,299.42 = 100,920.64 : x
  2. Step 2: Convert to fraction form
    280,817.04/421,299.42 = 100,920.64/x
  3. Step 3: Cross multiply
    280,817.04x = 421,299.42 × 100,920.64
  4. Step 4: Simplify right side
    280,817.04x = 42,517,807,098.03
  5. Step 5: Solve for x
    x = 42,517,807,098.03/280,817.04
  6. Step 6: Final answer
    x = 151,407.50

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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.