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Finding the Fourth Proportional to 119,291.52, 164,622.24 and 65,580

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Solution

The fourth proportional to 119,291.52, 164,622.24 and 65,580 is: 90,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,291.52 : 164,622.24 = 65,580 : x
  2. Step 2: Convert to fraction form
    119,291.52/164,622.24 = 65,580/x
  3. Step 3: Cross multiply
    119,291.52x = 164,622.24 × 65,580
  4. Step 4: Simplify right side
    119,291.52x = 10,795,926,499.20
  5. Step 5: Solve for x
    x = 10,795,926,499.20/119,291.52
  6. Step 6: Final answer
    x = 90,500.37

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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.