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Finding the Fourth Proportional to 282,116.84, 423,173.40 and 71,752.96

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Solution

The fourth proportional to 282,116.84, 423,173.40 and 71,752.96 is: 107,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,116.84 : 423,173.40 = 71,752.96 : x
  2. Step 2: Convert to fraction form
    282,116.84/423,173.40 = 71,752.96/x
  3. Step 3: Cross multiply
    282,116.84x = 423,173.40 × 71,752.96
  4. Step 4: Simplify right side
    282,116.84x = 30,363,944,043.26
  5. Step 5: Solve for x
    x = 30,363,944,043.26/282,116.84
  6. Step 6: Final answer
    x = 107,628.97

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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.