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Finding the Fourth Proportional to 202,306, 279,191.04 and 112,882

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Solution

The fourth proportional to 202,306, 279,191.04 and 112,882 is: 155,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,306 : 279,191.04 = 112,882 : x
  2. Step 2: Convert to fraction form
    202,306/279,191.04 = 112,882/x
  3. Step 3: Cross multiply
    202,306x = 279,191.04 × 112,882
  4. Step 4: Simplify right side
    202,306x = 31,515,642,977.28
  5. Step 5: Solve for x
    x = 31,515,642,977.28/202,306
  6. Step 6: Final answer
    x = 155,782.05

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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.