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Finding the Fourth Proportional to 233,518.88, 322,256.58 and 138,072.80

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Solution

The fourth proportional to 233,518.88, 322,256.58 and 138,072.80 is: 190,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,518.88 : 322,256.58 = 138,072.80 : x
  2. Step 2: Convert to fraction form
    233,518.88/322,256.58 = 138,072.80/x
  3. Step 3: Cross multiply
    233,518.88x = 322,256.58 × 138,072.80
  4. Step 4: Simplify right side
    233,518.88x = 44,494,868,319.02
  5. Step 5: Solve for x
    x = 44,494,868,319.02/233,518.88
  6. Step 6: Final answer
    x = 190,540.77

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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.