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Finding the Fourth Proportional to 224,137.98, 309,291.75 and 128,624.40

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Solution

The fourth proportional to 224,137.98, 309,291.75 and 128,624.40 is: 177,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,137.98 : 309,291.75 = 128,624.40 : x
  2. Step 2: Convert to fraction form
    224,137.98/309,291.75 = 128,624.40/x
  3. Step 3: Cross multiply
    224,137.98x = 309,291.75 × 128,624.40
  4. Step 4: Simplify right side
    224,137.98x = 39,782,465,768.70
  5. Step 5: Solve for x
    x = 39,782,465,768.70/224,137.98
  6. Step 6: Final answer
    x = 177,490.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.