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Finding the Fourth Proportional to 280,285.60, 420,379.80 and 102,701.20

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Solution

The fourth proportional to 280,285.60, 420,379.80 and 102,701.20 is: 154,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,285.60 : 420,379.80 = 102,701.20 : x
  2. Step 2: Convert to fraction form
    280,285.60/420,379.80 = 102,701.20/x
  3. Step 3: Cross multiply
    280,285.60x = 420,379.80 × 102,701.20
  4. Step 4: Simplify right side
    280,285.60x = 43,173,509,915.76
  5. Step 5: Solve for x
    x = 43,173,509,915.76/280,285.60
  6. Step 6: Final answer
    x = 154,033.99

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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.