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Finding the Fourth Proportional to 199,525.50, 275,342.76 and 114,635.88

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Solution

The fourth proportional to 199,525.50, 275,342.76 and 114,635.88 is: 158,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,525.50 : 275,342.76 = 114,635.88 : x
  2. Step 2: Convert to fraction form
    199,525.50/275,342.76 = 114,635.88/x
  3. Step 3: Cross multiply
    199,525.50x = 275,342.76 × 114,635.88
  4. Step 4: Simplify right side
    199,525.50x = 31,564,159,594.23
  5. Step 5: Solve for x
    x = 31,564,159,594.23/199,525.50
  6. Step 6: Final answer
    x = 158,196.12

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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.