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Finding the Fourth Proportional to 180,980.64, 270,964.44 and 136,468.08

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Solution

The fourth proportional to 180,980.64, 270,964.44 and 136,468.08 is: 204,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,980.64 : 270,964.44 = 136,468.08 : x
  2. Step 2: Convert to fraction form
    180,980.64/270,964.44 = 136,468.08/x
  3. Step 3: Cross multiply
    180,980.64x = 270,964.44 × 136,468.08
  4. Step 4: Simplify right side
    180,980.64x = 36,977,996,875.08
  5. Step 5: Solve for x
    x = 36,977,996,875.08/180,980.64
  6. Step 6: Final answer
    x = 204,320.18

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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.