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Finding the Fourth Proportional to 130,461.43, 180,033.54 and 73,103.11

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Solution

The fourth proportional to 130,461.43, 180,033.54 and 73,103.11 is: 100,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,461.43 : 180,033.54 = 73,103.11 : x
  2. Step 2: Convert to fraction form
    130,461.43/180,033.54 = 73,103.11/x
  3. Step 3: Cross multiply
    130,461.43x = 180,033.54 × 73,103.11
  4. Step 4: Simplify right side
    130,461.43x = 13,161,011,678.31
  5. Step 5: Solve for x
    x = 13,161,011,678.31/130,461.43
  6. Step 6: Final answer
    x = 100,880.48

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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.