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Finding the Fourth Proportional to 202,678.83, 279,724.56 and 116,636.04

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Solution

The fourth proportional to 202,678.83, 279,724.56 and 116,636.04 is: 160,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,678.83 : 279,724.56 = 116,636.04 : x
  2. Step 2: Convert to fraction form
    202,678.83/279,724.56 = 116,636.04/x
  3. Step 3: Cross multiply
    202,678.83x = 279,724.56 × 116,636.04
  4. Step 4: Simplify right side
    202,678.83x = 32,625,964,969.14
  5. Step 5: Solve for x
    x = 32,625,964,969.14/202,678.83
  6. Step 6: Final answer
    x = 160,973.72

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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.