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Finding the Fourth Proportional to 280,456.40, 420,830.40 and 122,700.80

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Solution

The fourth proportional to 280,456.40, 420,830.40 and 122,700.80 is: 184,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,456.40 : 420,830.40 = 122,700.80 : x
  2. Step 2: Convert to fraction form
    280,456.40/420,830.40 = 122,700.80/x
  3. Step 3: Cross multiply
    280,456.40x = 420,830.40 × 122,700.80
  4. Step 4: Simplify right side
    280,456.40x = 51,636,226,744.32
  5. Step 5: Solve for x
    x = 51,636,226,744.32/280,456.40
  6. Step 6: Final answer
    x = 184,114.99

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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.