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Finding the Fourth Proportional to 354,158.53, 530,948.33 and 164,737

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Solution

The fourth proportional to 354,158.53, 530,948.33 and 164,737 is: 246,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,158.53 : 530,948.33 = 164,737 : x
  2. Step 2: Convert to fraction form
    354,158.53/530,948.33 = 164,737/x
  3. Step 3: Cross multiply
    354,158.53x = 530,948.33 × 164,737
  4. Step 4: Simplify right side
    354,158.53x = 87,466,835,039.21
  5. Step 5: Solve for x
    x = 87,466,835,039.21/354,158.53
  6. Step 6: Final answer
    x = 246,970.86

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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.