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Finding the Fourth Proportional to 311,458.14, 429,812.33 and 168,218.15

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Solution

The fourth proportional to 311,458.14, 429,812.33 and 168,218.15 is: 232,141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,458.14 : 429,812.33 = 168,218.15 : x
  2. Step 2: Convert to fraction form
    311,458.14/429,812.33 = 168,218.15/x
  3. Step 3: Cross multiply
    311,458.14x = 429,812.33 × 168,218.15
  4. Step 4: Simplify right side
    311,458.14x = 72,302,232,009.64
  5. Step 5: Solve for x
    x = 72,302,232,009.64/311,458.14
  6. Step 6: Final answer
    x = 232,141.09

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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.