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Finding the Fourth Proportional to 273,159.60, 409,739.40 and 166,871.40

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Solution

The fourth proportional to 273,159.60, 409,739.40 and 166,871.40 is: 250,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,159.60 : 409,739.40 = 166,871.40 : x
  2. Step 2: Convert to fraction form
    273,159.60/409,739.40 = 166,871.40/x
  3. Step 3: Cross multiply
    273,159.60x = 409,739.40 × 166,871.40
  4. Step 4: Simplify right side
    273,159.60x = 68,373,787,313.16
  5. Step 5: Solve for x
    x = 68,373,787,313.16/273,159.60
  6. Step 6: Final answer
    x = 250,307.10

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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.