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Finding the Fourth Proportional to 311,501.64, 429,872.24 and 168,261.70

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Solution

The fourth proportional to 311,501.64, 429,872.24 and 168,261.70 is: 232,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,501.64 : 429,872.24 = 168,261.70 : x
  2. Step 2: Convert to fraction form
    311,501.64/429,872.24 = 168,261.70/x
  3. Step 3: Cross multiply
    311,501.64x = 429,872.24 × 168,261.70
  4. Step 4: Simplify right side
    311,501.64x = 72,331,031,969.22
  5. Step 5: Solve for x
    x = 72,331,031,969.22/311,501.64
  6. Step 6: Final answer
    x = 232,201.13

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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.