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Finding the Fourth Proportional to 237,770.40, 328,082.32 and 142,272.80

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Solution

The fourth proportional to 237,770.40, 328,082.32 and 142,272.80 is: 196,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,770.40 : 328,082.32 = 142,272.80 : x
  2. Step 2: Convert to fraction form
    237,770.40/328,082.32 = 142,272.80/x
  3. Step 3: Cross multiply
    237,770.40x = 328,082.32 × 142,272.80
  4. Step 4: Simplify right side
    237,770.40x = 46,677,190,296.90
  5. Step 5: Solve for x
    x = 46,677,190,296.90/237,770.40
  6. Step 6: Final answer
    x = 196,312.03

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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.