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Finding the Fourth Proportional to 282,032.29, 423,088.05 and 82,367.29

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Solution

The fourth proportional to 282,032.29, 423,088.05 and 82,367.29 is: 123,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,032.29 : 423,088.05 = 82,367.29 : x
  2. Step 2: Convert to fraction form
    282,032.29/423,088.05 = 82,367.29/x
  3. Step 3: Cross multiply
    282,032.29x = 423,088.05 × 82,367.29
  4. Step 4: Simplify right side
    282,032.29x = 34,848,616,109.88
  5. Step 5: Solve for x
    x = 34,848,616,109.88/282,032.29
  6. Step 6: Final answer
    x = 123,562.50

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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.