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Finding the Fourth Proportional to 233,133.64, 321,724.90 and 137,646.48

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Solution

The fourth proportional to 233,133.64, 321,724.90 and 137,646.48 is: 189,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,133.64 : 321,724.90 = 137,646.48 : x
  2. Step 2: Convert to fraction form
    233,133.64/321,724.90 = 137,646.48/x
  3. Step 3: Cross multiply
    233,133.64x = 321,724.90 × 137,646.48
  4. Step 4: Simplify right side
    233,133.64x = 44,284,300,013.35
  5. Step 5: Solve for x
    x = 44,284,300,013.35/233,133.64
  6. Step 6: Final answer
    x = 189,952.42

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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.