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Finding the Fourth Proportional to 155,002, 232,505.16 and 44,194

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Solution

The fourth proportional to 155,002, 232,505.16 and 44,194 is: 66,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,002 : 232,505.16 = 44,194 : x
  2. Step 2: Convert to fraction form
    155,002/232,505.16 = 44,194/x
  3. Step 3: Cross multiply
    155,002x = 232,505.16 × 44,194
  4. Step 4: Simplify right side
    155,002x = 10,275,333,041.04
  5. Step 5: Solve for x
    x = 10,275,333,041.04/155,002
  6. Step 6: Final answer
    x = 66,291.62

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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.