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Finding the Fourth Proportional to 125,824.16, 188,736.24 and 42,716

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Solution

The fourth proportional to 125,824.16, 188,736.24 and 42,716 is: 64,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,824.16 : 188,736.24 = 42,716 : x
  2. Step 2: Convert to fraction form
    125,824.16/188,736.24 = 42,716/x
  3. Step 3: Cross multiply
    125,824.16x = 188,736.24 × 42,716
  4. Step 4: Simplify right side
    125,824.16x = 8,062,057,227.84
  5. Step 5: Solve for x
    x = 8,062,057,227.84/125,824.16
  6. Step 6: Final answer
    x = 64,074.00

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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.