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Finding the Fourth Proportional to 238,142.10, 328,634.94 and 130,713.96

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Solution

The fourth proportional to 238,142.10, 328,634.94 and 130,713.96 is: 180,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,142.10 : 328,634.94 = 130,713.96 : x
  2. Step 2: Convert to fraction form
    238,142.10/328,634.94 = 130,713.96/x
  3. Step 3: Cross multiply
    238,142.10x = 328,634.94 × 130,713.96
  4. Step 4: Simplify right side
    238,142.10x = 42,957,174,401.76
  5. Step 5: Solve for x
    x = 42,957,174,401.76/238,142.10
  6. Step 6: Final answer
    x = 180,384.63

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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.