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Finding the Fourth Proportional to 130,894.33, 180,634.07 and 74,305.70

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Solution

The fourth proportional to 130,894.33, 180,634.07 and 74,305.70 is: 102,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,894.33 : 180,634.07 = 74,305.70 : x
  2. Step 2: Convert to fraction form
    130,894.33/180,634.07 = 74,305.70/x
  3. Step 3: Cross multiply
    130,894.33x = 180,634.07 × 74,305.70
  4. Step 4: Simplify right side
    130,894.33x = 13,422,141,573.27
  5. Step 5: Solve for x
    x = 13,422,141,573.27/130,894.33
  6. Step 6: Final answer
    x = 102,541.81

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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.