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Finding the Fourth Proportional to 202,731.05, 279,763.92 and 112,084.68

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Solution

The fourth proportional to 202,731.05, 279,763.92 and 112,084.68 is: 154,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,731.05 : 279,763.92 = 112,084.68 : x
  2. Step 2: Convert to fraction form
    202,731.05/279,763.92 = 112,084.68/x
  3. Step 3: Cross multiply
    202,731.05x = 279,763.92 × 112,084.68
  4. Step 4: Simplify right side
    202,731.05x = 31,357,249,448.75
  5. Step 5: Solve for x
    x = 31,357,249,448.75/202,731.05
  6. Step 6: Final answer
    x = 154,674.13

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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.