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Finding the Fourth Proportional to 207,274.83, 286,062.48 and 116,652.84

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Solution

The fourth proportional to 207,274.83, 286,062.48 and 116,652.84 is: 160,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,274.83 : 286,062.48 = 116,652.84 : x
  2. Step 2: Convert to fraction form
    207,274.83/286,062.48 = 116,652.84/x
  3. Step 3: Cross multiply
    207,274.83x = 286,062.48 × 116,652.84
  4. Step 4: Simplify right side
    207,274.83x = 33,370,000,709.44
  5. Step 5: Solve for x
    x = 33,370,000,709.44/207,274.83
  6. Step 6: Final answer
    x = 160,993.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.