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Finding the Fourth Proportional to 197,706.87, 272,824.67 and 117,141.81

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Solution

The fourth proportional to 197,706.87, 272,824.67 and 117,141.81 is: 161,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,706.87 : 272,824.67 = 117,141.81 : x
  2. Step 2: Convert to fraction form
    197,706.87/272,824.67 = 117,141.81/x
  3. Step 3: Cross multiply
    197,706.87x = 272,824.67 × 117,141.81
  4. Step 4: Simplify right side
    197,706.87x = 31,959,175,070.74
  5. Step 5: Solve for x
    x = 31,959,175,070.74/197,706.87
  6. Step 6: Final answer
    x = 161,649.29

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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.