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Finding the Fourth Proportional to 130,537.28, 180,148.56 and 73,959.68

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Solution

The fourth proportional to 130,537.28, 180,148.56 and 73,959.68 is: 102,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,537.28 : 180,148.56 = 73,959.68 : x
  2. Step 2: Convert to fraction form
    130,537.28/180,148.56 = 73,959.68/x
  3. Step 3: Cross multiply
    130,537.28x = 180,148.56 × 73,959.68
  4. Step 4: Simplify right side
    130,537.28x = 13,323,729,850.06
  5. Step 5: Solve for x
    x = 13,323,729,850.06/130,537.28
  6. Step 6: Final answer
    x = 102,068.39

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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.