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Finding the Fourth Proportional to 133,120.84, 199,677.42 and 34,624.84

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Solution

The fourth proportional to 133,120.84, 199,677.42 and 34,624.84 is: 51,936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,120.84 : 199,677.42 = 34,624.84 : x
  2. Step 2: Convert to fraction form
    133,120.84/199,677.42 = 34,624.84/x
  3. Step 3: Cross multiply
    133,120.84x = 199,677.42 × 34,624.84
  4. Step 4: Simplify right side
    133,120.84x = 6,913,798,719.11
  5. Step 5: Solve for x
    x = 6,913,798,719.11/133,120.84
  6. Step 6: Final answer
    x = 51,936.26

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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.