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Finding the Fourth Proportional to 130,714.60, 180,371.34 and 73,346.42

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Solution

The fourth proportional to 130,714.60, 180,371.34 and 73,346.42 is: 101,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,714.60 : 180,371.34 = 73,346.42 : x
  2. Step 2: Convert to fraction form
    130,714.60/180,371.34 = 73,346.42/x
  3. Step 3: Cross multiply
    130,714.60x = 180,371.34 × 73,346.42
  4. Step 4: Simplify right side
    130,714.60x = 13,229,592,059.60
  5. Step 5: Solve for x
    x = 13,229,592,059.60/130,714.60
  6. Step 6: Final answer
    x = 101,209.75

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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.