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Finding the Fourth Proportional to 207,166.51, 310,251.30 and 140,404.08

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Solution

The fourth proportional to 207,166.51, 310,251.30 and 140,404.08 is: 210,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,166.51 : 310,251.30 = 140,404.08 : x
  2. Step 2: Convert to fraction form
    207,166.51/310,251.30 = 140,404.08/x
  3. Step 3: Cross multiply
    207,166.51x = 310,251.30 × 140,404.08
  4. Step 4: Simplify right side
    207,166.51x = 43,560,548,345.30
  5. Step 5: Solve for x
    x = 43,560,548,345.30/207,166.51
  6. Step 6: Final answer
    x = 210,268.29

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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.