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Finding the Fourth Proportional to 209,592.26, 289,429.47 and 133,135.99

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Solution

The fourth proportional to 209,592.26, 289,429.47 and 133,135.99 is: 183,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,592.26 : 289,429.47 = 133,135.99 : x
  2. Step 2: Convert to fraction form
    209,592.26/289,429.47 = 133,135.99/x
  3. Step 3: Cross multiply
    209,592.26x = 289,429.47 × 133,135.99
  4. Step 4: Simplify right side
    209,592.26x = 38,533,479,023.63
  5. Step 5: Solve for x
    x = 38,533,479,023.63/209,592.26
  6. Step 6: Final answer
    x = 183,849.72

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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.