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Finding the Fourth Proportional to 206,697.36, 310,037.88 and 58,953.36

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Solution

The fourth proportional to 206,697.36, 310,037.88 and 58,953.36 is: 88,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,697.36 : 310,037.88 = 58,953.36 : x
  2. Step 2: Convert to fraction form
    206,697.36/310,037.88 = 58,953.36/x
  3. Step 3: Cross multiply
    206,697.36x = 310,037.88 × 58,953.36
  4. Step 4: Simplify right side
    206,697.36x = 18,277,774,753.28
  5. Step 5: Solve for x
    x = 18,277,774,753.28/206,697.36
  6. Step 6: Final answer
    x = 88,427.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.