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Finding the Fourth Proportional to 282,231.84, 423,125.80 and 193,215.54

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Solution

The fourth proportional to 282,231.84, 423,125.80 and 193,215.54 is: 289,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,231.84 : 423,125.80 = 193,215.54 : x
  2. Step 2: Convert to fraction form
    282,231.84/423,125.80 = 193,215.54/x
  3. Step 3: Cross multiply
    282,231.84x = 423,125.80 × 193,215.54
  4. Step 4: Simplify right side
    282,231.84x = 81,754,479,934.93
  5. Step 5: Solve for x
    x = 81,754,479,934.93/282,231.84
  6. Step 6: Final answer
    x = 289,671.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.