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Finding the Fourth Proportional to 210,438.72, 290,400.66 and 114,945.84

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Solution

The fourth proportional to 210,438.72, 290,400.66 and 114,945.84 is: 158,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,438.72 : 290,400.66 = 114,945.84 : x
  2. Step 2: Convert to fraction form
    210,438.72/290,400.66 = 114,945.84/x
  3. Step 3: Cross multiply
    210,438.72x = 290,400.66 × 114,945.84
  4. Step 4: Simplify right side
    210,438.72x = 33,380,347,800.25
  5. Step 5: Solve for x
    x = 33,380,347,800.25/210,438.72
  6. Step 6: Final answer
    x = 158,622.65

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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.