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Finding the Fourth Proportional to 116,204.56, 160,276.34 and 75,378.74

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Solution

The fourth proportional to 116,204.56, 160,276.34 and 75,378.74 is: 103,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,204.56 : 160,276.34 = 75,378.74 : x
  2. Step 2: Convert to fraction form
    116,204.56/160,276.34 = 75,378.74/x
  3. Step 3: Cross multiply
    116,204.56x = 160,276.34 × 75,378.74
  4. Step 4: Simplify right side
    116,204.56x = 12,081,428,561.01
  5. Step 5: Solve for x
    x = 12,081,428,561.01/116,204.56
  6. Step 6: Final answer
    x = 103,966.91

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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.