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Finding the Fourth Proportional to 233,903.75, 322,787.40 and 126,473.75

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Solution

The fourth proportional to 233,903.75, 322,787.40 and 126,473.75 is: 174,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,903.75 : 322,787.40 = 126,473.75 : x
  2. Step 2: Convert to fraction form
    233,903.75/322,787.40 = 126,473.75/x
  3. Step 3: Cross multiply
    233,903.75x = 322,787.40 × 126,473.75
  4. Step 4: Simplify right side
    233,903.75x = 40,824,134,935.79
  5. Step 5: Solve for x
    x = 40,824,134,935.79/233,903.75
  6. Step 6: Final answer
    x = 174,533.90

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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.