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Finding the Fourth Proportional to 147,700.88, 203,826.14 and 84,042.17

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Solution

The fourth proportional to 147,700.88, 203,826.14 and 84,042.17 is: 115,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,700.88 : 203,826.14 = 84,042.17 : x
  2. Step 2: Convert to fraction form
    147,700.88/203,826.14 = 84,042.17/x
  3. Step 3: Cross multiply
    147,700.88x = 203,826.14 × 84,042.17
  4. Step 4: Simplify right side
    147,700.88x = 17,129,989,668.98
  5. Step 5: Solve for x
    x = 17,129,989,668.98/147,700.88
  6. Step 6: Final answer
    x = 115,977.58

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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.