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Finding the Fourth Proportional to 277,389.32, 415,834.29 and 99,771.50

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Solution

The fourth proportional to 277,389.32, 415,834.29 and 99,771.50 is: 149,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,389.32 : 415,834.29 = 99,771.50 : x
  2. Step 2: Convert to fraction form
    277,389.32/415,834.29 = 99,771.50/x
  3. Step 3: Cross multiply
    277,389.32x = 415,834.29 × 99,771.50
  4. Step 4: Simplify right side
    277,389.32x = 41,488,410,864.74
  5. Step 5: Solve for x
    x = 41,488,410,864.74/277,389.32
  6. Step 6: Final answer
    x = 149,567.44

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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.