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Finding the Fourth Proportional to 130,804.72, 180,505.20 and 74,214.88

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Solution

The fourth proportional to 130,804.72, 180,505.20 and 74,214.88 is: 102,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,804.72 : 180,505.20 = 74,214.88 : x
  2. Step 2: Convert to fraction form
    130,804.72/180,505.20 = 74,214.88/x
  3. Step 3: Cross multiply
    130,804.72x = 180,505.20 × 74,214.88
  4. Step 4: Simplify right side
    130,804.72x = 13,396,171,757.38
  5. Step 5: Solve for x
    x = 13,396,171,757.38/130,804.72
  6. Step 6: Final answer
    x = 102,413.52

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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.