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Finding the Fourth Proportional to 127,538.40, 191,307.60 and 121,414.80

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Solution

The fourth proportional to 127,538.40, 191,307.60 and 121,414.80 is: 182,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,538.40 : 191,307.60 = 121,414.80 : x
  2. Step 2: Convert to fraction form
    127,538.40/191,307.60 = 121,414.80/x
  3. Step 3: Cross multiply
    127,538.40x = 191,307.60 × 121,414.80
  4. Step 4: Simplify right side
    127,538.40x = 23,227,573,992.48
  5. Step 5: Solve for x
    x = 23,227,573,992.48/127,538.40
  6. Step 6: Final answer
    x = 182,122.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.