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Finding the Fourth Proportional to 274,228.81, 411,150.03 and 105,607.87

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Solution

The fourth proportional to 274,228.81, 411,150.03 and 105,607.87 is: 158,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,228.81 : 411,150.03 = 105,607.87 : x
  2. Step 2: Convert to fraction form
    274,228.81/411,150.03 = 105,607.87/x
  3. Step 3: Cross multiply
    274,228.81x = 411,150.03 × 105,607.87
  4. Step 4: Simplify right side
    274,228.81x = 43,420,678,918.74
  5. Step 5: Solve for x
    x = 43,420,678,918.74/274,228.81
  6. Step 6: Final answer
    x = 158,337.41

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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.