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Finding the Fourth Proportional to 223,318.20, 334,862.10 and 83,004.60

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Solution

The fourth proportional to 223,318.20, 334,862.10 and 83,004.60 is: 124,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,318.20 : 334,862.10 = 83,004.60 : x
  2. Step 2: Convert to fraction form
    223,318.20/334,862.10 = 83,004.60/x
  3. Step 3: Cross multiply
    223,318.20x = 334,862.10 × 83,004.60
  4. Step 4: Simplify right side
    223,318.20x = 27,795,094,665.66
  5. Step 5: Solve for x
    x = 27,795,094,665.66/223,318.20
  6. Step 6: Final answer
    x = 124,464.08

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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.