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Finding the Fourth Proportional to 273,497.08, 410,242.32 and 71,075.25

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Solution

The fourth proportional to 273,497.08, 410,242.32 and 71,075.25 is: 106,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,497.08 : 410,242.32 = 71,075.25 : x
  2. Step 2: Convert to fraction form
    273,497.08/410,242.32 = 71,075.25/x
  3. Step 3: Cross multiply
    273,497.08x = 410,242.32 × 71,075.25
  4. Step 4: Simplify right side
    273,497.08x = 29,158,075,454.58
  5. Step 5: Solve for x
    x = 29,158,075,454.58/273,497.08
  6. Step 6: Final answer
    x = 106,612.02

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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.