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Finding the Fourth Proportional to 207,530.96, 286,376.52 and 116,882

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Solution

The fourth proportional to 207,530.96, 286,376.52 and 116,882 is: 161,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,530.96 : 286,376.52 = 116,882 : x
  2. Step 2: Convert to fraction form
    207,530.96/286,376.52 = 116,882/x
  3. Step 3: Cross multiply
    207,530.96x = 286,376.52 × 116,882
  4. Step 4: Simplify right side
    207,530.96x = 33,472,260,410.64
  5. Step 5: Solve for x
    x = 33,472,260,410.64/207,530.96
  6. Step 6: Final answer
    x = 161,288.03

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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.