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Finding the Fourth Proportional to 130,546.17, 180,157.23 and 73,957.14

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Solution

The fourth proportional to 130,546.17, 180,157.23 and 73,957.14 is: 102,062.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,546.17 : 180,157.23 = 73,957.14 : x
  2. Step 2: Convert to fraction form
    130,546.17/180,157.23 = 73,957.14/x
  3. Step 3: Cross multiply
    130,546.17x = 180,157.23 × 73,957.14
  4. Step 4: Simplify right side
    130,546.17x = 13,323,913,481.12
  5. Step 5: Solve for x
    x = 13,323,913,481.12/130,546.17
  6. Step 6: Final answer
    x = 102,062.84

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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.