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Finding the Fourth Proportional to 202,419, 279,362.82 and 117,536.06

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Solution

The fourth proportional to 202,419, 279,362.82 and 117,536.06 is: 162,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,419 : 279,362.82 = 117,536.06 : x
  2. Step 2: Convert to fraction form
    202,419/279,362.82 = 117,536.06/x
  3. Step 3: Cross multiply
    202,419x = 279,362.82 × 117,536.06
  4. Step 4: Simplify right side
    202,419x = 32,835,206,312.46
  5. Step 5: Solve for x
    x = 32,835,206,312.46/202,419
  6. Step 6: Final answer
    x = 162,214.05

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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.