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Finding the Fourth Proportional to 202,780.92, 279,858.69 and 116,742.96

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Solution

The fourth proportional to 202,780.92, 279,858.69 and 116,742.96 is: 161,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,780.92 : 279,858.69 = 116,742.96 : x
  2. Step 2: Convert to fraction form
    202,780.92/279,858.69 = 116,742.96/x
  3. Step 3: Cross multiply
    202,780.92x = 279,858.69 × 116,742.96
  4. Step 4: Simplify right side
    202,780.92x = 32,671,531,852.32
  5. Step 5: Solve for x
    x = 32,671,531,852.32/202,780.92
  6. Step 6: Final answer
    x = 161,117.39

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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.