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Finding the Fourth Proportional to 201,461.80, 301,755.30 and 175,217.80

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Solution

The fourth proportional to 201,461.80, 301,755.30 and 175,217.80 is: 262,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,461.80 : 301,755.30 = 175,217.80 : x
  2. Step 2: Convert to fraction form
    201,461.80/301,755.30 = 175,217.80/x
  3. Step 3: Cross multiply
    201,461.80x = 301,755.30 × 175,217.80
  4. Step 4: Simplify right side
    201,461.80x = 52,872,899,804.34
  5. Step 5: Solve for x
    x = 52,872,899,804.34/201,461.80
  6. Step 6: Final answer
    x = 262,446.28

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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.