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Finding the Fourth Proportional to 225,857.84, 338,823.60 and 92,702.36

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Solution

The fourth proportional to 225,857.84, 338,823.60 and 92,702.36 is: 139,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,857.84 : 338,823.60 = 92,702.36 : x
  2. Step 2: Convert to fraction form
    225,857.84/338,823.60 = 92,702.36/x
  3. Step 3: Cross multiply
    225,857.84x = 338,823.60 × 92,702.36
  4. Step 4: Simplify right side
    225,857.84x = 31,409,747,343.70
  5. Step 5: Solve for x
    x = 31,409,747,343.70/225,857.84
  6. Step 6: Final answer
    x = 139,068.66

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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.