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Finding the Fourth Proportional to 179,967.10, 269,561.85 and 156,639.10

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Solution

The fourth proportional to 179,967.10, 269,561.85 and 156,639.10 is: 234,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,967.10 : 269,561.85 = 156,639.10 : x
  2. Step 2: Convert to fraction form
    179,967.10/269,561.85 = 156,639.10/x
  3. Step 3: Cross multiply
    179,967.10x = 269,561.85 × 156,639.10
  4. Step 4: Simplify right side
    179,967.10x = 42,223,925,578.34
  5. Step 5: Solve for x
    x = 42,223,925,578.34/179,967.10
  6. Step 6: Final answer
    x = 234,620.25

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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.