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Finding the Fourth Proportional to 117,914.40, 176,612.40 and 102,362.40

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Solution

The fourth proportional to 117,914.40, 176,612.40 and 102,362.40 is: 153,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,914.40 : 176,612.40 = 102,362.40 : x
  2. Step 2: Convert to fraction form
    117,914.40/176,612.40 = 102,362.40/x
  3. Step 3: Cross multiply
    117,914.40x = 176,612.40 × 102,362.40
  4. Step 4: Simplify right side
    117,914.40x = 18,078,469,133.76
  5. Step 5: Solve for x
    x = 18,078,469,133.76/117,914.40
  6. Step 6: Final answer
    x = 153,318.59

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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.