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Finding the Fourth Proportional to 205,889.65, 308,887.71 and 120,572.55

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Solution

The fourth proportional to 205,889.65, 308,887.71 and 120,572.55 is: 180,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,889.65 : 308,887.71 = 120,572.55 : x
  2. Step 2: Convert to fraction form
    205,889.65/308,887.71 = 120,572.55/x
  3. Step 3: Cross multiply
    205,889.65x = 308,887.71 × 120,572.55
  4. Step 4: Simplify right side
    205,889.65x = 37,243,380,468.84
  5. Step 5: Solve for x
    x = 37,243,380,468.84/205,889.65
  6. Step 6: Final answer
    x = 180,890.01

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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.