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Finding the Fourth Proportional to 147,818.82, 204,006.18 and 84,146.34

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Solution

The fourth proportional to 147,818.82, 204,006.18 and 84,146.34 is: 116,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,818.82 : 204,006.18 = 84,146.34 : x
  2. Step 2: Convert to fraction form
    147,818.82/204,006.18 = 84,146.34/x
  3. Step 3: Cross multiply
    147,818.82x = 204,006.18 × 84,146.34
  4. Step 4: Simplify right side
    147,818.82x = 17,166,373,384.38
  5. Step 5: Solve for x
    x = 17,166,373,384.38/147,818.82
  6. Step 6: Final answer
    x = 116,131.18

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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.