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Finding the Fourth Proportional to 146,692, 202,435.50 and 79,624

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Solution

The fourth proportional to 146,692, 202,435.50 and 79,624 is: 109,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,692 : 202,435.50 = 79,624 : x
  2. Step 2: Convert to fraction form
    146,692/202,435.50 = 79,624/x
  3. Step 3: Cross multiply
    146,692x = 202,435.50 × 79,624
  4. Step 4: Simplify right side
    146,692x = 16,118,724,252
  5. Step 5: Solve for x
    x = 16,118,724,252/146,692
  6. Step 6: Final answer
    x = 109,881.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.