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Finding the Fourth Proportional to 353,282.84, 530,099.53 and 140,046.24

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Solution

The fourth proportional to 353,282.84, 530,099.53 and 140,046.24 is: 210,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,282.84 : 530,099.53 = 140,046.24 : x
  2. Step 2: Convert to fraction form
    353,282.84/530,099.53 = 140,046.24/x
  3. Step 3: Cross multiply
    353,282.84x = 530,099.53 × 140,046.24
  4. Step 4: Simplify right side
    353,282.84x = 74,238,445,652.15
  5. Step 5: Solve for x
    x = 74,238,445,652.15/353,282.84
  6. Step 6: Final answer
    x = 210,138.84

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Why These Related Problems?

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