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Finding the Fourth Proportional to 212,430.72, 293,164.92 and 116,936.40

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Solution

The fourth proportional to 212,430.72, 293,164.92 and 116,936.40 is: 161,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,430.72 : 293,164.92 = 116,936.40 : x
  2. Step 2: Convert to fraction form
    212,430.72/293,164.92 = 116,936.40/x
  3. Step 3: Cross multiply
    212,430.72x = 293,164.92 × 116,936.40
  4. Step 4: Simplify right side
    212,430.72x = 34,281,650,351.09
  5. Step 5: Solve for x
    x = 34,281,650,351.09/212,430.72
  6. Step 6: Final answer
    x = 161,378.03

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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.