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Finding the Fourth Proportional to 233,602.24, 322,361.76 and 138,164.80

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Solution

The fourth proportional to 233,602.24, 322,361.76 and 138,164.80 is: 190,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,602.24 : 322,361.76 = 138,164.80 : x
  2. Step 2: Convert to fraction form
    233,602.24/322,361.76 = 138,164.80/x
  3. Step 3: Cross multiply
    233,602.24x = 322,361.76 × 138,164.80
  4. Step 4: Simplify right side
    233,602.24x = 44,539,048,098.05
  5. Step 5: Solve for x
    x = 44,539,048,098.05/233,602.24
  6. Step 6: Final answer
    x = 190,661.91

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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.