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Finding the Fourth Proportional to 130,672.98, 180,343.26 and 73,321.74

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Solution

The fourth proportional to 130,672.98, 180,343.26 and 73,321.74 is: 101,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,672.98 : 180,343.26 = 73,321.74 : x
  2. Step 2: Convert to fraction form
    130,672.98/180,343.26 = 73,321.74/x
  3. Step 3: Cross multiply
    130,672.98x = 180,343.26 × 73,321.74
  4. Step 4: Simplify right side
    130,672.98x = 13,223,081,620.47
  5. Step 5: Solve for x
    x = 13,223,081,620.47/130,672.98
  6. Step 6: Final answer
    x = 101,192.16

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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.