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Finding the Fourth Proportional to 233,480.26, 322,180.90 and 137,968.71

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Solution

The fourth proportional to 233,480.26, 322,180.90 and 137,968.71 is: 190,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,480.26 : 322,180.90 = 137,968.71 : x
  2. Step 2: Convert to fraction form
    233,480.26/322,180.90 = 137,968.71/x
  3. Step 3: Cross multiply
    233,480.26x = 322,180.90 × 137,968.71
  4. Step 4: Simplify right side
    233,480.26x = 44,450,883,159.64
  5. Step 5: Solve for x
    x = 44,450,883,159.64/233,480.26
  6. Step 6: Final answer
    x = 190,383.90

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1.5x scale

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.