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Finding the Fourth Proportional to 147,294.96, 203,343.96 and 114,960.12

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Solution

The fourth proportional to 147,294.96, 203,343.96 and 114,960.12 is: 158,705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,294.96 : 203,343.96 = 114,960.12 : x
  2. Step 2: Convert to fraction form
    147,294.96/203,343.96 = 114,960.12/x
  3. Step 3: Cross multiply
    147,294.96x = 203,343.96 × 114,960.12
  4. Step 4: Simplify right side
    147,294.96x = 23,376,446,042.88
  5. Step 5: Solve for x
    x = 23,376,446,042.88/147,294.96
  6. Step 6: Final answer
    x = 158,705.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.