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Finding the Fourth Proportional to 280,620.60, 420,801.30 and 122,767.80

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Solution

The fourth proportional to 280,620.60, 420,801.30 and 122,767.80 is: 184,095.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,620.60 : 420,801.30 = 122,767.80 : x
  2. Step 2: Convert to fraction form
    280,620.60/420,801.30 = 122,767.80/x
  3. Step 3: Cross multiply
    280,620.60x = 420,801.30 × 122,767.80
  4. Step 4: Simplify right side
    280,620.60x = 51,660,849,838.14
  5. Step 5: Solve for x
    x = 51,660,849,838.14/280,620.60
  6. Step 6: Final answer
    x = 184,095.00

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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.