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Finding the Fourth Proportional to 233,745.32, 322,544.74 and 138,233.36

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Solution

The fourth proportional to 233,745.32, 322,544.74 and 138,233.36 is: 190,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,745.32 : 322,544.74 = 138,233.36 : x
  2. Step 2: Convert to fraction form
    233,745.32/322,544.74 = 138,233.36/x
  3. Step 3: Cross multiply
    233,745.32x = 322,544.74 × 138,233.36
  4. Step 4: Simplify right side
    233,745.32x = 44,586,443,160.53
  5. Step 5: Solve for x
    x = 44,586,443,160.53/233,745.32
  6. Step 6: Final answer
    x = 190,747.96

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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.