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Finding the Fourth Proportional to 185,165.34, 255,527.64 and 100,282.20

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Solution

The fourth proportional to 185,165.34, 255,527.64 and 100,282.20 is: 138,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,165.34 : 255,527.64 = 100,282.20 : x
  2. Step 2: Convert to fraction form
    185,165.34/255,527.64 = 100,282.20/x
  3. Step 3: Cross multiply
    185,165.34x = 255,527.64 × 100,282.20
  4. Step 4: Simplify right side
    185,165.34x = 25,624,873,900.01
  5. Step 5: Solve for x
    x = 25,624,873,900.01/185,165.34
  6. Step 6: Final answer
    x = 138,389.15

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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.