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Finding the Fourth Proportional to 201,566.86, 302,163.10 and 89,187.06

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Solution

The fourth proportional to 201,566.86, 302,163.10 and 89,187.06 is: 133,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,566.86 : 302,163.10 = 89,187.06 : x
  2. Step 2: Convert to fraction form
    201,566.86/302,163.10 = 89,187.06/x
  3. Step 3: Cross multiply
    201,566.86x = 302,163.10 × 89,187.06
  4. Step 4: Simplify right side
    201,566.86x = 26,949,038,529.49
  5. Step 5: Solve for x
    x = 26,949,038,529.49/201,566.86
  6. Step 6: Final answer
    x = 133,697.76

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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.