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Finding the Fourth Proportional to 282,710.39, 424,086.17 and 105,217.34

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Solution

The fourth proportional to 282,710.39, 424,086.17 and 105,217.34 is: 157,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,710.39 : 424,086.17 = 105,217.34 : x
  2. Step 2: Convert to fraction form
    282,710.39/424,086.17 = 105,217.34/x
  3. Step 3: Cross multiply
    282,710.39x = 424,086.17 × 105,217.34
  4. Step 4: Simplify right side
    282,710.39x = 44,621,216,091.67
  5. Step 5: Solve for x
    x = 44,621,216,091.67/282,710.39
  6. Step 6: Final answer
    x = 157,833.66

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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.