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Finding the Fourth Proportional to 461,755.98, 692,703.22 and 162,183.76

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Solution

The fourth proportional to 461,755.98, 692,703.22 and 162,183.76 is: 243,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,755.98 : 692,703.22 = 162,183.76 : x
  2. Step 2: Convert to fraction form
    461,755.98/692,703.22 = 162,183.76/x
  3. Step 3: Cross multiply
    461,755.98x = 692,703.22 × 162,183.76
  4. Step 4: Simplify right side
    461,755.98x = 112,345,209,320.19
  5. Step 5: Solve for x
    x = 112,345,209,320.19/461,755.98
  6. Step 6: Final answer
    x = 243,299.96

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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.