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Finding the Fourth Proportional to 205,188.71, 308,324.27 and 110,488.91

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Solution

The fourth proportional to 205,188.71, 308,324.27 and 110,488.91 is: 166,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,188.71 : 308,324.27 = 110,488.91 : x
  2. Step 2: Convert to fraction form
    205,188.71/308,324.27 = 110,488.91/x
  3. Step 3: Cross multiply
    205,188.71x = 308,324.27 × 110,488.91
  4. Step 4: Simplify right side
    205,188.71x = 34,066,411,253.45
  5. Step 5: Solve for x
    x = 34,066,411,253.45/205,188.71
  6. Step 6: Final answer
    x = 166,024.79

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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.