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Finding the Fourth Proportional to 185,308.14, 277,960.16 and 45,066.90

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Solution

The fourth proportional to 185,308.14, 277,960.16 and 45,066.90 is: 67,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,308.14 : 277,960.16 = 45,066.90 : x
  2. Step 2: Convert to fraction form
    185,308.14/277,960.16 = 45,066.90/x
  3. Step 3: Cross multiply
    185,308.14x = 277,960.16 × 45,066.90
  4. Step 4: Simplify right side
    185,308.14x = 12,526,802,734.70
  5. Step 5: Solve for x
    x = 12,526,802,734.70/185,308.14
  6. Step 6: Final answer
    x = 67,599.85

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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.