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Finding the Fourth Proportional to 201,207.24, 301,577.58 and 189,543.24

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Solution

The fourth proportional to 201,207.24, 301,577.58 and 189,543.24 is: 284,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,207.24 : 301,577.58 = 189,543.24 : x
  2. Step 2: Convert to fraction form
    201,207.24/301,577.58 = 189,543.24/x
  3. Step 3: Cross multiply
    201,207.24x = 301,577.58 × 189,543.24
  4. Step 4: Simplify right side
    201,207.24x = 57,161,991,624.56
  5. Step 5: Solve for x
    x = 57,161,991,624.56/201,207.24
  6. Step 6: Final answer
    x = 284,095.10

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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.