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Finding the Fourth Proportional to 233,438.90, 322,132.47 and 137,954.48

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Solution

The fourth proportional to 233,438.90, 322,132.47 and 137,954.48 is: 190,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,438.90 : 322,132.47 = 137,954.48 : x
  2. Step 2: Convert to fraction form
    233,438.90/322,132.47 = 137,954.48/x
  3. Step 3: Cross multiply
    233,438.90x = 322,132.47 × 137,954.48
  4. Step 4: Simplify right side
    233,438.90x = 44,439,617,389.97
  5. Step 5: Solve for x
    x = 44,439,617,389.97/233,438.90
  6. Step 6: Final answer
    x = 190,369.37

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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.