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Finding the Fourth Proportional to 138,177.60, 190,684.73 and 77,748.36

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Solution

The fourth proportional to 138,177.60, 190,684.73 and 77,748.36 is: 107,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,177.60 : 190,684.73 = 77,748.36 : x
  2. Step 2: Convert to fraction form
    138,177.60/190,684.73 = 77,748.36/x
  3. Step 3: Cross multiply
    138,177.60x = 190,684.73 × 77,748.36
  4. Step 4: Simplify right side
    138,177.60x = 14,825,424,513.85
  5. Step 5: Solve for x
    x = 14,825,424,513.85/138,177.60
  6. Step 6: Final answer
    x = 107,292.53

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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.