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Finding the Fourth Proportional to 275,565, 413,373.62 and 107,098.32

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Solution

The fourth proportional to 275,565, 413,373.62 and 107,098.32 is: 160,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,565 : 413,373.62 = 107,098.32 : x
  2. Step 2: Convert to fraction form
    275,565/413,373.62 = 107,098.32/x
  3. Step 3: Cross multiply
    275,565x = 413,373.62 × 107,098.32
  4. Step 4: Simplify right side
    275,565x = 44,271,620,234.32
  5. Step 5: Solve for x
    x = 44,271,620,234.32/275,565
  6. Step 6: Final answer
    x = 160,657.63

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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.