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Finding the Fourth Proportional to 130,772.30, 180,460.32 and 74,194.34

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Solution

The fourth proportional to 130,772.30, 180,460.32 and 74,194.34 is: 102,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,772.30 : 180,460.32 = 74,194.34 : x
  2. Step 2: Convert to fraction form
    130,772.30/180,460.32 = 74,194.34/x
  3. Step 3: Cross multiply
    130,772.30x = 180,460.32 × 74,194.34
  4. Step 4: Simplify right side
    130,772.30x = 13,389,134,338.59
  5. Step 5: Solve for x
    x = 13,389,134,338.59/130,772.30
  6. Step 6: Final answer
    x = 102,385.09

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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.