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Finding the Fourth Proportional to 205,123.59, 282,973.50 and 133,477.47

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Solution

The fourth proportional to 205,123.59, 282,973.50 and 133,477.47 is: 184,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,123.59 : 282,973.50 = 133,477.47 : x
  2. Step 2: Convert to fraction form
    205,123.59/282,973.50 = 133,477.47/x
  3. Step 3: Cross multiply
    205,123.59x = 282,973.50 × 133,477.47
  4. Step 4: Simplify right side
    205,123.59x = 37,770,586,857.05
  5. Step 5: Solve for x
    x = 37,770,586,857.05/205,123.59
  6. Step 6: Final answer
    x = 184,135.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.