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Finding the Fourth Proportional to 275,705.64, 413,558.64 and 88,717.14

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Solution

The fourth proportional to 275,705.64, 413,558.64 and 88,717.14 is: 133,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,705.64 : 413,558.64 = 88,717.14 : x
  2. Step 2: Convert to fraction form
    275,705.64/413,558.64 = 88,717.14/x
  3. Step 3: Cross multiply
    275,705.64x = 413,558.64 × 88,717.14
  4. Step 4: Simplify right side
    275,705.64x = 36,689,739,763.09
  5. Step 5: Solve for x
    x = 36,689,739,763.09/275,705.64
  6. Step 6: Final answer
    x = 133,075.77

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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.