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Finding the Fourth Proportional to 210,093.70, 289,918.65 and 114,599.62

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Solution

The fourth proportional to 210,093.70, 289,918.65 and 114,599.62 is: 158,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,093.70 : 289,918.65 = 114,599.62 : x
  2. Step 2: Convert to fraction form
    210,093.70/289,918.65 = 114,599.62/x
  3. Step 3: Cross multiply
    210,093.70x = 289,918.65 × 114,599.62
  4. Step 4: Simplify right side
    210,093.70x = 33,224,567,120.91
  5. Step 5: Solve for x
    x = 33,224,567,120.91/210,093.70
  6. Step 6: Final answer
    x = 158,141.66

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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.