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Finding the Fourth Proportional to 116,203.56, 160,274.96 and 75,377.74

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Solution

The fourth proportional to 116,203.56, 160,274.96 and 75,377.74 is: 103,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,203.56 : 160,274.96 = 75,377.74 : x
  2. Step 2: Convert to fraction form
    116,203.56/160,274.96 = 75,377.74/x
  3. Step 3: Cross multiply
    116,203.56x = 160,274.96 × 75,377.74
  4. Step 4: Simplify right side
    116,203.56x = 12,081,164,263.39
  5. Step 5: Solve for x
    x = 12,081,164,263.39/116,203.56
  6. Step 6: Final answer
    x = 103,965.53

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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.