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Finding the Fourth Proportional to 228,463.17, 315,279.14 and 127,861.17

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Solution

The fourth proportional to 228,463.17, 315,279.14 and 127,861.17 is: 176,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,463.17 : 315,279.14 = 127,861.17 : x
  2. Step 2: Convert to fraction form
    228,463.17/315,279.14 = 127,861.17/x
  3. Step 3: Cross multiply
    228,463.17x = 315,279.14 × 127,861.17
  4. Step 4: Simplify right side
    228,463.17x = 40,311,959,077.69
  5. Step 5: Solve for x
    x = 40,311,959,077.69/228,463.17
  6. Step 6: Final answer
    x = 176,448.39

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Why These Related Problems?

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