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Finding the Fourth Proportional to 409,527.12, 614,292.06 and 125,216.60

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Solution

The fourth proportional to 409,527.12, 614,292.06 and 125,216.60 is: 187,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,527.12 : 614,292.06 = 125,216.60 : x
  2. Step 2: Convert to fraction form
    409,527.12/614,292.06 = 125,216.60/x
  3. Step 3: Cross multiply
    409,527.12x = 614,292.06 × 125,216.60
  4. Step 4: Simplify right side
    409,527.12x = 76,919,563,160.20
  5. Step 5: Solve for x
    x = 76,919,563,160.20/409,527.12
  6. Step 6: Final answer
    x = 187,825.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.