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Finding the Fourth Proportional to 210,122.67, 289,969.98 and 114,631.38

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Solution

The fourth proportional to 210,122.67, 289,969.98 and 114,631.38 is: 158,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,122.67 : 289,969.98 = 114,631.38 : x
  2. Step 2: Convert to fraction form
    210,122.67/289,969.98 = 114,631.38/x
  3. Step 3: Cross multiply
    210,122.67x = 289,969.98 × 114,631.38
  4. Step 4: Simplify right side
    210,122.67x = 33,239,658,965.97
  5. Step 5: Solve for x
    x = 33,239,658,965.97/210,122.67
  6. Step 6: Final answer
    x = 158,191.68

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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.