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Finding the Fourth Proportional to 224,263.45, 309,472.21 and 127,464.77

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Solution

The fourth proportional to 224,263.45, 309,472.21 and 127,464.77 is: 175,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,263.45 : 309,472.21 = 127,464.77 : x
  2. Step 2: Convert to fraction form
    224,263.45/309,472.21 = 127,464.77/x
  3. Step 3: Cross multiply
    224,263.45x = 309,472.21 × 127,464.77
  4. Step 4: Simplify right side
    224,263.45x = 39,446,805,002.05
  5. Step 5: Solve for x
    x = 39,446,805,002.05/224,263.45
  6. Step 6: Final answer
    x = 175,894.93

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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.