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Finding the Fourth Proportional to 307,123.14, 423,811.28 and 169,296.02

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Solution

The fourth proportional to 307,123.14, 423,811.28 and 169,296.02 is: 233,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,123.14 : 423,811.28 = 169,296.02 : x
  2. Step 2: Convert to fraction form
    307,123.14/423,811.28 = 169,296.02/x
  3. Step 3: Cross multiply
    307,123.14x = 423,811.28 × 169,296.02
  4. Step 4: Simplify right side
    307,123.14x = 71,749,562,935.11
  5. Step 5: Solve for x
    x = 71,749,562,935.11/307,123.14
  6. Step 6: Final answer
    x = 233,618.23

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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.