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Finding the Fourth Proportional to 155,014, 232,523.20 and 44,206

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Solution

The fourth proportional to 155,014, 232,523.20 and 44,206 is: 66,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,014 : 232,523.20 = 44,206 : x
  2. Step 2: Convert to fraction form
    155,014/232,523.20 = 44,206/x
  3. Step 3: Cross multiply
    155,014x = 232,523.20 × 44,206
  4. Step 4: Simplify right side
    155,014x = 10,278,920,579.20
  5. Step 5: Solve for x
    x = 10,278,920,579.20/155,014
  6. Step 6: Final answer
    x = 66,309.63

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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.