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Finding the Fourth Proportional to 275,838.08, 413,789.52 and 98,370.32

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Solution

The fourth proportional to 275,838.08, 413,789.52 and 98,370.32 is: 147,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,838.08 : 413,789.52 = 98,370.32 : x
  2. Step 2: Convert to fraction form
    275,838.08/413,789.52 = 98,370.32/x
  3. Step 3: Cross multiply
    275,838.08x = 413,789.52 × 98,370.32
  4. Step 4: Simplify right side
    275,838.08x = 40,704,607,495.05
  5. Step 5: Solve for x
    x = 40,704,607,495.05/275,838.08
  6. Step 6: Final answer
    x = 147,567.03

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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.