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Finding the Fourth Proportional to 151,042.80, 208,438.70 and 83,063.94

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Solution

The fourth proportional to 151,042.80, 208,438.70 and 83,063.94 is: 114,628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,042.80 : 208,438.70 = 83,063.94 : x
  2. Step 2: Convert to fraction form
    151,042.80/208,438.70 = 83,063.94/x
  3. Step 3: Cross multiply
    151,042.80x = 208,438.70 × 83,063.94
  4. Step 4: Simplify right side
    151,042.80x = 17,313,739,670.48
  5. Step 5: Solve for x
    x = 17,313,739,670.48/151,042.80
  6. Step 6: Final answer
    x = 114,628.04

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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.