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Finding the Fourth Proportional to 291,736.80, 402,596.16 and 157,600.80

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Solution

The fourth proportional to 291,736.80, 402,596.16 and 157,600.80 is: 217,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,736.80 : 402,596.16 = 157,600.80 : x
  2. Step 2: Convert to fraction form
    291,736.80/402,596.16 = 157,600.80/x
  3. Step 3: Cross multiply
    291,736.80x = 402,596.16 × 157,600.80
  4. Step 4: Simplify right side
    291,736.80x = 63,449,476,892.93
  5. Step 5: Solve for x
    x = 63,449,476,892.93/291,736.80
  6. Step 6: Final answer
    x = 217,488.77

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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.