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Finding the Fourth Proportional to 185,156.84, 277,815.48 and 65,299.44

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Solution

The fourth proportional to 185,156.84, 277,815.48 and 65,299.44 is: 97,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,156.84 : 277,815.48 = 65,299.44 : x
  2. Step 2: Convert to fraction form
    185,156.84/277,815.48 = 65,299.44/x
  3. Step 3: Cross multiply
    185,156.84x = 277,815.48 × 65,299.44
  4. Step 4: Simplify right side
    185,156.84x = 18,141,195,267.33
  5. Step 5: Solve for x
    x = 18,141,195,267.33/185,156.84
  6. Step 6: Final answer
    x = 97,977.45

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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.