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Finding the Fourth Proportional to 119,296.52, 164,629.14 and 65,585

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Solution

The fourth proportional to 119,296.52, 164,629.14 and 65,585 is: 90,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,296.52 : 164,629.14 = 65,585 : x
  2. Step 2: Convert to fraction form
    119,296.52/164,629.14 = 65,585/x
  3. Step 3: Cross multiply
    119,296.52x = 164,629.14 × 65,585
  4. Step 4: Simplify right side
    119,296.52x = 10,797,202,146.90
  5. Step 5: Solve for x
    x = 10,797,202,146.90/119,296.52
  6. Step 6: Final answer
    x = 90,507.27

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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.