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Finding the Fourth Proportional to 224,526, 336,932.40 and 106,204.32

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Solution

The fourth proportional to 224,526, 336,932.40 and 106,204.32 is: 159,374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,526 : 336,932.40 = 106,204.32 : x
  2. Step 2: Convert to fraction form
    224,526/336,932.40 = 106,204.32/x
  3. Step 3: Cross multiply
    224,526x = 336,932.40 × 106,204.32
  4. Step 4: Simplify right side
    224,526x = 35,783,676,427.97
  5. Step 5: Solve for x
    x = 35,783,676,427.97/224,526
  6. Step 6: Final answer
    x = 159,374.31

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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.