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Finding the Fourth Proportional to 233,415.11, 322,117.02 and 137,921.60

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Solution

The fourth proportional to 233,415.11, 322,117.02 and 137,921.60 is: 190,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,415.11 : 322,117.02 = 137,921.60 : x
  2. Step 2: Convert to fraction form
    233,415.11/322,117.02 = 137,921.60/x
  3. Step 3: Cross multiply
    233,415.11x = 322,117.02 × 137,921.60
  4. Step 4: Simplify right side
    233,415.11x = 44,426,893,175.05
  5. Step 5: Solve for x
    x = 44,426,893,175.05/233,415.11
  6. Step 6: Final answer
    x = 190,334.27

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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.