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Finding the Fourth Proportional to 185,288.11, 277,932.16 and 45,045.52

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Solution

The fourth proportional to 185,288.11, 277,932.16 and 45,045.52 is: 67,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,288.11 : 277,932.16 = 45,045.52 : x
  2. Step 2: Convert to fraction form
    185,288.11/277,932.16 = 45,045.52/x
  3. Step 3: Cross multiply
    185,288.11x = 277,932.16 × 45,045.52
  4. Step 4: Simplify right side
    185,288.11x = 12,519,598,033.40
  5. Step 5: Solve for x
    x = 12,519,598,033.40/185,288.11
  6. Step 6: Final answer
    x = 67,568.28

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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.