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Finding the Fourth Proportional to 214,990.64, 296,685.32 and 116,873.24

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Solution

The fourth proportional to 214,990.64, 296,685.32 and 116,873.24 is: 161,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,990.64 : 296,685.32 = 116,873.24 : x
  2. Step 2: Convert to fraction form
    214,990.64/296,685.32 = 116,873.24/x
  3. Step 3: Cross multiply
    214,990.64x = 296,685.32 × 116,873.24
  4. Step 4: Simplify right side
    214,990.64x = 34,674,572,541.04
  5. Step 5: Solve for x
    x = 34,674,572,541.04/214,990.64
  6. Step 6: Final answer
    x = 161,284.11

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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.