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Finding the Fourth Proportional to 130,497.44, 180,099.09 and 73,146.50

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Solution

The fourth proportional to 130,497.44, 180,099.09 and 73,146.50 is: 100,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,497.44 : 180,099.09 = 73,146.50 : x
  2. Step 2: Convert to fraction form
    130,497.44/180,099.09 = 73,146.50/x
  3. Step 3: Cross multiply
    130,497.44x = 180,099.09 × 73,146.50
  4. Step 4: Simplify right side
    130,497.44x = 13,173,617,186.19
  5. Step 5: Solve for x
    x = 13,173,617,186.19/130,497.44
  6. Step 6: Final answer
    x = 100,949.24

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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.