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Finding the Fourth Proportional to 211,243.60, 316,980.60 and 86,597.20

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Solution

The fourth proportional to 211,243.60, 316,980.60 and 86,597.20 is: 129,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,243.60 : 316,980.60 = 86,597.20 : x
  2. Step 2: Convert to fraction form
    211,243.60/316,980.60 = 86,597.20/x
  3. Step 3: Cross multiply
    211,243.60x = 316,980.60 × 86,597.20
  4. Step 4: Simplify right side
    211,243.60x = 27,449,632,414.32
  5. Step 5: Solve for x
    x = 27,449,632,414.32/211,243.60
  6. Step 6: Final answer
    x = 129,943.03

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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.