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Finding the Fourth Proportional to 275,714.10, 413,643.15 and 88,730.10

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Solution

The fourth proportional to 275,714.10, 413,643.15 and 88,730.10 is: 133,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,714.10 : 413,643.15 = 88,730.10 : x
  2. Step 2: Convert to fraction form
    275,714.10/413,643.15 = 88,730.10/x
  3. Step 3: Cross multiply
    275,714.10x = 413,643.15 × 88,730.10
  4. Step 4: Simplify right side
    275,714.10x = 36,702,598,063.82
  5. Step 5: Solve for x
    x = 36,702,598,063.82/275,714.10
  6. Step 6: Final answer
    x = 133,118.32

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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.