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Finding the Fourth Proportional to 282,894.27, 424,328.63 and 83,221.17

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Solution

The fourth proportional to 282,894.27, 424,328.63 and 83,221.17 is: 124,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,894.27 : 424,328.63 = 83,221.17 : x
  2. Step 2: Convert to fraction form
    282,894.27/424,328.63 = 83,221.17/x
  3. Step 3: Cross multiply
    282,894.27x = 424,328.63 × 83,221.17
  4. Step 4: Simplify right side
    282,894.27x = 35,313,124,636.99
  5. Step 5: Solve for x
    x = 35,313,124,636.99/282,894.27
  6. Step 6: Final answer
    x = 124,828.00

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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.