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Finding the Fourth Proportional to 275,564, 413,372.12 and 107,097.32

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Solution

The fourth proportional to 275,564, 413,372.12 and 107,097.32 is: 160,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,564 : 413,372.12 = 107,097.32 : x
  2. Step 2: Convert to fraction form
    275,564/413,372.12 = 107,097.32/x
  3. Step 3: Cross multiply
    275,564x = 413,372.12 × 107,097.32
  4. Step 4: Simplify right side
    275,564x = 44,271,046,214.72
  5. Step 5: Solve for x
    x = 44,271,046,214.72/275,564
  6. Step 6: Final answer
    x = 160,656.13

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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.