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Finding the Fourth Proportional to 209,533.17, 289,165.23 and 123,495.78

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Solution

The fourth proportional to 209,533.17, 289,165.23 and 123,495.78 is: 170,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,533.17 : 289,165.23 = 123,495.78 : x
  2. Step 2: Convert to fraction form
    209,533.17/289,165.23 = 123,495.78/x
  3. Step 3: Cross multiply
    209,533.17x = 289,165.23 × 123,495.78
  4. Step 4: Simplify right side
    209,533.17x = 35,710,685,627.73
  5. Step 5: Solve for x
    x = 35,710,685,627.73/209,533.17
  6. Step 6: Final answer
    x = 170,429.75

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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.