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Finding the Fourth Proportional to 130,893.74, 180,634.07 and 73,535.48

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Solution

The fourth proportional to 130,893.74, 180,634.07 and 73,535.48 is: 101,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,893.74 : 180,634.07 = 73,535.48 : x
  2. Step 2: Convert to fraction form
    130,893.74/180,634.07 = 73,535.48/x
  3. Step 3: Cross multiply
    130,893.74x = 180,634.07 × 73,535.48
  4. Step 4: Simplify right side
    130,893.74x = 13,283,013,503.38
  5. Step 5: Solve for x
    x = 13,283,013,503.38/130,893.74
  6. Step 6: Final answer
    x = 101,479.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.