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Finding the Fourth Proportional to 280,424.34, 420,286.59 and 140,223.06

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Solution

The fourth proportional to 280,424.34, 420,286.59 and 140,223.06 is: 210,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,424.34 : 420,286.59 = 140,223.06 : x
  2. Step 2: Convert to fraction form
    280,424.34/420,286.59 = 140,223.06/x
  3. Step 3: Cross multiply
    280,424.34x = 420,286.59 × 140,223.06
  4. Step 4: Simplify right side
    280,424.34x = 58,933,871,726.77
  5. Step 5: Solve for x
    x = 58,933,871,726.77/280,424.34
  6. Step 6: Final answer
    x = 210,159.62

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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.