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Finding the Fourth Proportional to 188,452.72, 260,070.24 and 106,775.02

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Solution

The fourth proportional to 188,452.72, 260,070.24 and 106,775.02 is: 147,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,452.72 : 260,070.24 = 106,775.02 : x
  2. Step 2: Convert to fraction form
    188,452.72/260,070.24 = 106,775.02/x
  3. Step 3: Cross multiply
    188,452.72x = 260,070.24 × 106,775.02
  4. Step 4: Simplify right side
    188,452.72x = 27,769,005,077.40
  5. Step 5: Solve for x
    x = 27,769,005,077.40/188,452.72
  6. Step 6: Final answer
    x = 147,352.64

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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.