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Finding the Fourth Proportional to 132,296.13, 182,444.27 and 102,033.54

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Solution

The fourth proportional to 132,296.13, 182,444.27 and 102,033.54 is: 140,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,296.13 : 182,444.27 = 102,033.54 : x
  2. Step 2: Convert to fraction form
    132,296.13/182,444.27 = 102,033.54/x
  3. Step 3: Cross multiply
    132,296.13x = 182,444.27 × 102,033.54
  4. Step 4: Simplify right side
    132,296.13x = 18,615,434,210.65
  5. Step 5: Solve for x
    x = 18,615,434,210.65/132,296.13
  6. Step 6: Final answer
    x = 140,710.35

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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.