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Finding the Fourth Proportional to 128,277.14, 177,002.60 and 71,677.58

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Solution

The fourth proportional to 128,277.14, 177,002.60 and 71,677.58 is: 98,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,277.14 : 177,002.60 = 71,677.58 : x
  2. Step 2: Convert to fraction form
    128,277.14/177,002.60 = 71,677.58/x
  3. Step 3: Cross multiply
    128,277.14x = 177,002.60 × 71,677.58
  4. Step 4: Simplify right side
    128,277.14x = 12,687,116,778.31
  5. Step 5: Solve for x
    x = 12,687,116,778.31/128,277.14
  6. Step 6: Final answer
    x = 98,903.96

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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.