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Finding the Fourth Proportional to 210,104.16, 289,945.82 and 114,612.84

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Solution

The fourth proportional to 210,104.16, 289,945.82 and 114,612.84 is: 158,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,104.16 : 289,945.82 = 114,612.84 : x
  2. Step 2: Convert to fraction form
    210,104.16/289,945.82 = 114,612.84/x
  3. Step 3: Cross multiply
    210,104.16x = 289,945.82 × 114,612.84
  4. Step 4: Simplify right side
    210,104.16x = 33,231,513,876.33
  5. Step 5: Solve for x
    x = 33,231,513,876.33/210,104.16
  6. Step 6: Final answer
    x = 158,166.85

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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.