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Finding the Fourth Proportional to 205,646.63, 308,355.33 and 63,451.53

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Solution

The fourth proportional to 205,646.63, 308,355.33 and 63,451.53 is: 95,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,646.63 : 308,355.33 = 63,451.53 : x
  2. Step 2: Convert to fraction form
    205,646.63/308,355.33 = 63,451.53/x
  3. Step 3: Cross multiply
    205,646.63x = 308,355.33 × 63,451.53
  4. Step 4: Simplify right side
    205,646.63x = 19,565,618,390.54
  5. Step 5: Solve for x
    x = 19,565,618,390.54/205,646.63
  6. Step 6: Final answer
    x = 95,141.94

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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.