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Finding the Fourth Proportional to 146,797.63, 202,387.95 and 105,927.46

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Solution

The fourth proportional to 146,797.63, 202,387.95 and 105,927.46 is: 146,040.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,797.63 : 202,387.95 = 105,927.46 : x
  2. Step 2: Convert to fraction form
    146,797.63/202,387.95 = 105,927.46/x
  3. Step 3: Cross multiply
    146,797.63x = 202,387.95 × 105,927.46
  4. Step 4: Simplify right side
    146,797.63x = 21,438,441,478.11
  5. Step 5: Solve for x
    x = 21,438,441,478.11/146,797.63
  6. Step 6: Final answer
    x = 146,040.79

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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.