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Finding the Fourth Proportional to 212,465.43, 293,201.46 and 116,972.19

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Solution

The fourth proportional to 212,465.43, 293,201.46 and 116,972.19 is: 161,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,465.43 : 293,201.46 = 116,972.19 : x
  2. Step 2: Convert to fraction form
    212,465.43/293,201.46 = 116,972.19/x
  3. Step 3: Cross multiply
    212,465.43x = 293,201.46 × 116,972.19
  4. Step 4: Simplify right side
    212,465.43x = 34,296,416,887.40
  5. Step 5: Solve for x
    x = 34,296,416,887.40/212,465.43
  6. Step 6: Final answer
    x = 161,421.16

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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.