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Finding the Fourth Proportional to 224,561.40, 309,883.85 and 127,756.14

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Solution

The fourth proportional to 224,561.40, 309,883.85 and 127,756.14 is: 176,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,561.40 : 309,883.85 = 127,756.14 : x
  2. Step 2: Convert to fraction form
    224,561.40/309,883.85 = 127,756.14/x
  3. Step 3: Cross multiply
    224,561.40x = 309,883.85 × 127,756.14
  4. Step 4: Simplify right side
    224,561.40x = 39,589,562,336.14
  5. Step 5: Solve for x
    x = 39,589,562,336.14/224,561.40
  6. Step 6: Final answer
    x = 176,297.28

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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.