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Finding the Fourth Proportional to 174,004.56, 260,966 and 98,135.90

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Solution

The fourth proportional to 174,004.56, 260,966 and 98,135.90 is: 147,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,004.56 : 260,966 = 98,135.90 : x
  2. Step 2: Convert to fraction form
    174,004.56/260,966 = 98,135.90/x
  3. Step 3: Cross multiply
    174,004.56x = 260,966 × 98,135.90
  4. Step 4: Simplify right side
    174,004.56x = 25,610,133,279.40
  5. Step 5: Solve for x
    x = 25,610,133,279.40/174,004.56
  6. Step 6: Final answer
    x = 147,180.82

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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.