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Finding the Fourth Proportional to 291,839.25, 402,738.17 and 157,703.25

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Solution

The fourth proportional to 291,839.25, 402,738.17 and 157,703.25 is: 217,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,839.25 : 402,738.17 = 157,703.25 : x
  2. Step 2: Convert to fraction form
    291,839.25/402,738.17 = 157,703.25/x
  3. Step 3: Cross multiply
    291,839.25x = 402,738.17 × 157,703.25
  4. Step 4: Simplify right side
    291,839.25x = 63,513,117,519.54
  5. Step 5: Solve for x
    x = 63,513,117,519.54/291,839.25
  6. Step 6: Final answer
    x = 217,630.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.