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Finding the Fourth Proportional to 146,642, 202,366.50 and 79,574

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Solution

The fourth proportional to 146,642, 202,366.50 and 79,574 is: 109,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,642 : 202,366.50 = 79,574 : x
  2. Step 2: Convert to fraction form
    146,642/202,366.50 = 79,574/x
  3. Step 3: Cross multiply
    146,642x = 202,366.50 × 79,574
  4. Step 4: Simplify right side
    146,642x = 16,103,111,871
  5. Step 5: Solve for x
    x = 16,103,111,871/146,642
  6. Step 6: Final answer
    x = 109,812.41

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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.