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Finding the Fourth Proportional to 233,479.26, 322,179.53 and 137,967.71

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Solution

The fourth proportional to 233,479.26, 322,179.53 and 137,967.71 is: 190,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,479.26 : 322,179.53 = 137,967.71 : x
  2. Step 2: Convert to fraction form
    233,479.26/322,179.53 = 137,967.71/x
  3. Step 3: Cross multiply
    233,479.26x = 322,179.53 × 137,967.71
  4. Step 4: Simplify right side
    233,479.26x = 44,450,369,662.24
  5. Step 5: Solve for x
    x = 44,450,369,662.24/233,479.26
  6. Step 6: Final answer
    x = 190,382.52

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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.