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Finding the Fourth Proportional to 162,533.26, 243,896.76 and 72,568.98

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Solution

The fourth proportional to 162,533.26, 243,896.76 and 72,568.98 is: 108,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,533.26 : 243,896.76 = 72,568.98 : x
  2. Step 2: Convert to fraction form
    162,533.26/243,896.76 = 72,568.98/x
  3. Step 3: Cross multiply
    162,533.26x = 243,896.76 × 72,568.98
  4. Step 4: Simplify right side
    162,533.26x = 17,699,339,098.50
  5. Step 5: Solve for x
    x = 17,699,339,098.50/162,533.26
  6. Step 6: Final answer
    x = 108,896.72

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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.