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Finding the Fourth Proportional to 275,833.08, 413,782.02 and 98,365.32

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Solution

The fourth proportional to 275,833.08, 413,782.02 and 98,365.32 is: 147,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,833.08 : 413,782.02 = 98,365.32 : x
  2. Step 2: Convert to fraction form
    275,833.08/413,782.02 = 98,365.32/x
  3. Step 3: Cross multiply
    275,833.08x = 413,782.02 × 98,365.32
  4. Step 4: Simplify right side
    275,833.08x = 40,701,800,807.55
  5. Step 5: Solve for x
    x = 40,701,800,807.55/275,833.08
  6. Step 6: Final answer
    x = 147,559.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.