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Finding the Fourth Proportional to 133,498.94, 200,281.14 and 61,418.12

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Solution

The fourth proportional to 133,498.94, 200,281.14 and 61,418.12 is: 92,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,498.94 : 200,281.14 = 61,418.12 : x
  2. Step 2: Convert to fraction form
    133,498.94/200,281.14 = 61,418.12/x
  3. Step 3: Cross multiply
    133,498.94x = 200,281.14 × 61,418.12
  4. Step 4: Simplify right side
    133,498.94x = 12,300,890,088.85
  5. Step 5: Solve for x
    x = 12,300,890,088.85/133,498.94
  6. Step 6: Final answer
    x = 92,142.23

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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.