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Finding the Fourth Proportional to 129,409.90, 178,585.59 and 72,821.32

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Solution

The fourth proportional to 129,409.90, 178,585.59 and 72,821.32 is: 100,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,409.90 : 178,585.59 = 72,821.32 : x
  2. Step 2: Convert to fraction form
    129,409.90/178,585.59 = 72,821.32/x
  3. Step 3: Cross multiply
    129,409.90x = 178,585.59 × 72,821.32
  4. Step 4: Simplify right side
    129,409.90x = 13,004,838,396.78
  5. Step 5: Solve for x
    x = 13,004,838,396.78/129,409.90
  6. Step 6: Final answer
    x = 100,493.38

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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.