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Finding the Fourth Proportional to 202,807.67, 279,874.01 and 116,735.20

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Solution

The fourth proportional to 202,807.67, 279,874.01 and 116,735.20 is: 161,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,807.67 : 279,874.01 = 116,735.20 : x
  2. Step 2: Convert to fraction form
    202,807.67/279,874.01 = 116,735.20/x
  3. Step 3: Cross multiply
    202,807.67x = 279,874.01 × 116,735.20
  4. Step 4: Simplify right side
    202,807.67x = 32,671,148,124.31
  5. Step 5: Solve for x
    x = 32,671,148,124.31/202,807.67
  6. Step 6: Final answer
    x = 161,094.25

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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.