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Finding the Fourth Proportional to 146,632, 202,352.16 and 79,564

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Solution

The fourth proportional to 146,632, 202,352.16 and 79,564 is: 109,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,632 : 202,352.16 = 79,564 : x
  2. Step 2: Convert to fraction form
    146,632/202,352.16 = 79,564/x
  3. Step 3: Cross multiply
    146,632x = 202,352.16 × 79,564
  4. Step 4: Simplify right side
    146,632x = 16,099,947,258.24
  5. Step 5: Solve for x
    x = 16,099,947,258.24/146,632
  6. Step 6: Final answer
    x = 109,798.32

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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.