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Finding the Fourth Proportional to 233,371.41, 322,056.64 and 137,877.88

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Solution

The fourth proportional to 233,371.41, 322,056.64 and 137,877.88 is: 190,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,371.41 : 322,056.64 = 137,877.88 : x
  2. Step 2: Convert to fraction form
    233,371.41/322,056.64 = 137,877.88/x
  3. Step 3: Cross multiply
    233,371.41x = 322,056.64 × 137,877.88
  4. Step 4: Simplify right side
    233,371.41x = 44,404,486,763.12
  5. Step 5: Solve for x
    x = 44,404,486,763.12/233,371.41
  6. Step 6: Final answer
    x = 190,273.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.