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Finding the Fourth Proportional to 275,577.52, 413,259.66 and 107,075.66

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Solution

The fourth proportional to 275,577.52, 413,259.66 and 107,075.66 is: 160,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,577.52 : 413,259.66 = 107,075.66 : x
  2. Step 2: Convert to fraction form
    275,577.52/413,259.66 = 107,075.66/x
  3. Step 3: Cross multiply
    275,577.52x = 413,259.66 × 107,075.66
  4. Step 4: Simplify right side
    275,577.52x = 44,250,052,188.21
  5. Step 5: Solve for x
    x = 44,250,052,188.21/275,577.52
  6. Step 6: Final answer
    x = 160,572.07

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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.