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Finding the Fourth Proportional to 130,654, 180,297.30 and 76,941.28

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Solution

The fourth proportional to 130,654, 180,297.30 and 76,941.28 is: 106,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,654 : 180,297.30 = 76,941.28 : x
  2. Step 2: Convert to fraction form
    130,654/180,297.30 = 76,941.28/x
  3. Step 3: Cross multiply
    130,654x = 180,297.30 × 76,941.28
  4. Step 4: Simplify right side
    130,654x = 13,872,305,042.54
  5. Step 5: Solve for x
    x = 13,872,305,042.54/130,654
  6. Step 6: Final answer
    x = 106,175.89

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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.