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Finding the Fourth Proportional to 282,657.40, 423,722.58 and 95,538.04

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Solution

The fourth proportional to 282,657.40, 423,722.58 and 95,538.04 is: 143,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,657.40 : 423,722.58 = 95,538.04 : x
  2. Step 2: Convert to fraction form
    282,657.40/423,722.58 = 95,538.04/x
  3. Step 3: Cross multiply
    282,657.40x = 423,722.58 × 95,538.04
  4. Step 4: Simplify right side
    282,657.40x = 40,481,624,796.94
  5. Step 5: Solve for x
    x = 40,481,624,796.94/282,657.40
  6. Step 6: Final answer
    x = 143,217.99

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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.