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Finding the Fourth Proportional to 133,604.48, 200,415.36 and 44,854.40

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Solution

The fourth proportional to 133,604.48, 200,415.36 and 44,854.40 is: 67,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,604.48 : 200,415.36 = 44,854.40 : x
  2. Step 2: Convert to fraction form
    133,604.48/200,415.36 = 44,854.40/x
  3. Step 3: Cross multiply
    133,604.48x = 200,415.36 × 44,854.40
  4. Step 4: Simplify right side
    133,604.48x = 8,989,510,723.58
  5. Step 5: Solve for x
    x = 8,989,510,723.58/133,604.48
  6. Step 6: Final answer
    x = 67,284.50

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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.