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Finding the Fourth Proportional to 218,734.45, 301,892.68 and 128,085.12

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Solution

The fourth proportional to 218,734.45, 301,892.68 and 128,085.12 is: 176,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,734.45 : 301,892.68 = 128,085.12 : x
  2. Step 2: Convert to fraction form
    218,734.45/301,892.68 = 128,085.12/x
  3. Step 3: Cross multiply
    218,734.45x = 301,892.68 × 128,085.12
  4. Step 4: Simplify right side
    218,734.45x = 38,667,960,144.92
  5. Step 5: Solve for x
    x = 38,667,960,144.92/218,734.45
  6. Step 6: Final answer
    x = 176,780.38

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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.