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Finding the Fourth Proportional to 210,313.72, 290,219.42 and 114,820.21

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Solution

The fourth proportional to 210,313.72, 290,219.42 and 114,820.21 is: 158,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,313.72 : 290,219.42 = 114,820.21 : x
  2. Step 2: Convert to fraction form
    210,313.72/290,219.42 = 114,820.21/x
  3. Step 3: Cross multiply
    210,313.72x = 290,219.42 × 114,820.21
  4. Step 4: Simplify right side
    210,313.72x = 33,323,052,725.28
  5. Step 5: Solve for x
    x = 33,323,052,725.28/210,313.72
  6. Step 6: Final answer
    x = 158,444.51

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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.